Three, let $x<0$ and $x-\frac{1}{x}=\sqrt{5}$. Find the value of the rational expression $\frac{x^{10}+x^{0}+x^{4}+1}{x^{16}+x^{8}+x^{2}+1}$.
Three, Hint: From $x-\frac{1}{x}=\sqrt{5}, x<0$, deduce that $x+\frac{1}{x}=-3$. Then transform the required expression into the form $x^{\mathrm{n}}+\frac{1}{x^{\mathrm{n}}}$. The value obtained is $\frac{42}{47}$.