46. The lateral faces of a triangular pyramid are equal in area and are inclined to the base plane at angles $\alpha, \beta$, and $\gamma$. Find the ratio of the radius of the sphere inscribed in this pyramid to the radius of the sphere that touches the base of the pyramid and the extensions of the three lateral faces.
46. $\frac{3-\cos \alpha-\cos \beta-\cos \gamma}{3+\cos \alpha+\cos \beta+\cos \gamma}$.