If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that of the acceleration due to gravity at a depth $\alpha \mathrm{h}\left(\mathrm{h}<<\mathrm{R}_{\mathrm{e}}\right)$ from the earth surface. The value of $\alpha$ will be _________.

(use $\left.\mathrm{R}_{\mathrm{e}}=6400 \mathrm{~km}\right)$