Suppose $\mathrm{a}, \mathrm{b}, \mathrm{c}$ are in A.P. and $a^2, 2 b^2, c^2$ are in G.P. If $a<b<c$ and $a+b+c=1$, then $9\left(a^2+b^2+c^2\right)$ is equal to $\_\_\_\_$ .
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