A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is $10$ times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is $2$ times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is _________.