Question 121
In convex quadrilateral $ABCD$, $\vec{BC} = 2\vec{AD}$. Point $P$ is on the plane of quadrilateral $ABCD$, satisfying $\vec{PA} + 2020\vec{PB} + 2020\vec{PC} = 2020\vec{PD} = \vec{0}$. Let $s$ and $t$ be the areas of quadrilateral $ABCD$ and $\triangle PAB$, respectively. Then the value of $\frac{t}{s}$ is ______.