Just a reverse

Algebra Level 3

\[ \frac{x}{a} + \frac{y}{b} + \frac{z}{c} = \sqrt{2} \] \[ \frac{a}{x} + \frac{b}{y} + \frac{c}{z} = 0 \] \[ \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = \ ? \]