Brazil will develop into a superpower, and for the first time in the history of the world, South America will become an international power center. China will have the strongest economy in the world. India will have squandered its potential; it will still be influential and richer than now, but eclipsed by other powers.
I would flip China and India in your statement. China has a nasty demographic dip coming up due to the one child policy. Before 2050 they should have hit a limit where there aren't enough workers to support their retirees. They also have less economic diversity than the Indians, who have better balanced service and manufacturing sectors.
