The Binomial Expansion is valid for exponents that are not integers. That is, for all real numbers \(x\), \(y\), and \(r\) with \(|x|>|y|\), $$(x+y)^r=x^r+rx^{r-1}y^1+\frac{r(r-1)}2x^{r-2}y^2+\frac{r(r-1)(r-2)}{3!}x^{r-3}y^3+\cdots$$ What are the first three digits to the right of the decimal point in the decimal representation of \(\left(10^{2002}+1\right)^{10/7}\)?

(第二十届AIME1 2002 第7题)