Suppose China's GDP is growing by 7% a year and its population grows by 1% a year. Also suppose that US GDP grows by 3% a year and its population grows by 1% a year, and that in 2017 US GDP is 1.5 times China's while US population is one quarter of China's. If these growth rates continue

By what year will China's GDP double? Its population? Its per capita GDP?

In what year will China's GDP equal US GDP?

In what year will China's GDP per capita equal US GDP per capita?

Be sure to show your calculations, even if they are very simple.