The OP gets more right than people would want to admit, and I knew he’d be getting piled on before I read the first response.
In general the regions of earliest prosperity coincide with places where a combination of factors allowed for successful large scale agriculture. This was basically the Fertile Crescent, China, and later parts of Central America. Those three hot beds relatively quickly spread the practices that lead to prosperity and basically civilization to neighboring areas. Over time that created a massive advantage that indigenous peoples of Oceania, Africa, most of North America etc never surpassed.
The prosperous peoples of the Americas unfortunately never developed immunity to any disease more common in Eurasia and this basically destroyed their society after first contact. The Chinese development stagnated for a complex combination of political and economic reasons. The Fertile Crescent and its immediate neighboring areas were much more prosperous than most of Western Europe (when the Roman Empire fell the Western half aside from Italia had always been worse off than the more established peoples of the Eastern Roman Empire and this is precisely why when Muslim conquerors took most of the Eastern Roman Empire their societies became so advanced–those cities and people had always been highly advanced relative to their neighbors) but eventually this region stagnated in a fashion similar to China. At that point you had one of the genesis areas of prosperity/civilization wiped out by colonialism, and the other two were stagnated. Then, Western/Central Europe, which was not a place where civilization began but where it spread over time had several things happen that uniquely positioned it to surpass everywhere else on the planet.
Then the States in Europe started founding colonies, and their colonies immediately carried with them all of the advantages of the mother country in many ways. Almost unique amongst such Colonies, the Thirteen Colonies which became America were supremely well positioned in terms of total population, political ideology, economic system, and geography to take all of the built in advantages that were theirs from 2,000+ years of development and maximize reaping the rewards of the industrial revolution and agricultural revolutions.
It is during the 19th century when the framework for America becoming the wealthiest country was built and in the 20th century when it happened (it would not have happened in the 20th if not for what happened in the 19th), and if you compare the U.S. to other countries during that time the advantages are obvious. One major thing is aside from the Civil War the 19th century was very free of strife for the United States. The Napoleonic Wars completely devastated most of the German States and France and those were the hot beds of economic activity in continental Europe at that time. Massive amounts of inherited power and privilege made it more difficult for economic ingenuity to be rewarded in Europe than in the United States. Andrew Carnegie for example would have no place in history today if he had never left Scotland because his rags to riches story truly was only possible in the United States in the 19th century. The U.S. has the aforementioned large natural resource advantages over European countries for sure.
Despite its advantages, America had disadvantages too. For one, Europe started out with a lot more wealth. Most of the wealth of Europe didn’t emigrate to the Americas because it was concentrated in the hands of elites who had no motivation to leave, it was mostly people of ordinary or limited means who felt there were justifiable rewards to immigrating across the Atlantic. In large part that is why without all of those structural advantages the economy of the United States didn’t really come of age compared to Europe til about 1900. WWI essentially wiped out any real competitor to the United States in terms of wealth, power, etc because of how destructive it was for its participants–with the exception of the British Empire which was finished off in that regard by WWII.
The early history of our economy is definitely part of why we became prosperous, we did not have wealth locked in the hands of hereditary elites, which certainly helped. We had many more opportunities for entrepreneurs to make a name for themselves. But we also benefited from our geography, natural resources, and protection from the worst strife of the 19th and later early 20th century.
It’s comparable to why Britain was the greatest power of Europe by 1815–it had all the advantages of Europe’s other powers but was also insulated by a thin channel of water from most of its biggest problems and this enabled her to manipulate Continental affairs so that no single Continental hegemon could arise to Challenge Britain and allowed Britain to colonize and exploit a huge chunk of the world. We didn’t have as much accumulated wealth in 1776 as Britain, but we had a lot more opportunity to create more and a much better protection from Europe’s strife and then we had less problems with hereditary wealth and political power.
Russia is poor to even talk about, their story is markedly different from Europe such that while parts of Russia is geographically Europe it’s questionable to even think of their history as European history. Russia was marauded by powerful nomadic peoples for centuries while Western Europe had established feudal states. Russia had an extreme concentration of power and wealth on a far different scale than Western Europe and a serf system that was much closer to chattel slavery than most Europen serfdom etc. Russia had a lot of things that kept if from ever being the world’s most prosperous country before you even talk about its lack of access to warm water ports and its climate.