The causes for the US development are many, if I had to guess I would mainly bet on the extensive natural resources they had available.
As for natural resources, Asia, Africa, and S. America are loaded with natural resources, yet the booms did not happen there.
They are also loaded with people. America was a free-for-all (except the American Indians, of course, who were overpowered by superior technology).
Maybe there was a lot of wealth in silver, I don't know about that. It seems that it had some land-based oil that they started extracting in the beginning of the 20th century, but I've no idea if they were as extensive as in the US (where there was Standard Oil, an immensely wealthy corporation).
Mind you, I'm not saying it was only the natural resources, there are other factors as well - different climate, geography, cultural background (English vs. Spanish/Portuguese), colonial history, ... I somewhere read that it's a curious phenomenon how so many countries in SA had so many dictatorships in sequence...
edit: Also you're attributing success to capitalism where it should be attributed to slavery. It's easy to have a very strong economy when you have free slave labor and most economic gains are still limited by manual labor. If you want to conflate capitalism with slavery I think that's not unreasonable since slavery of some kind is essentially the end goal of capitalism but I'd assume that's a move you don't want to make, so don't try to claim success for your economic system off the backs of abused slaves.