They really haven't taken over the world, but they have run out of relatively low hanging fruit to attack.
As gets pointed out a lot, their fundamental problem is an allergy to business models which involve humans in the workflow, and this will continue to be their problem as they simply haven't learned how to deal with people properly.
I suspect a lot of the difficult world problems relate to poverty. The first job of "real" AI should be to better employ the under employed.
Google (along with other highly successful companies) should provide the work environment and training programs for people in the 3rd world that will allow them to earn enough to become customers of 1st world businesses; similar to the way china buys US bonds that enable the US to buy chinese products. I think the first job of the 3rd world worker should be to transform their environment to 1st world standards.
This will be extremely challenging. For example, there aren't enough resources to make the 3rd world into the 1st world. Those are the problems that google should hire 3rd world workers to solve.
