Playing with dominoes

If the letters $A$ to $I$ represent distinct single digit positive integers with $C = 3, G=7 ,I = 9$ , find the values of each of these letters such that the grid above makes sense. Submit your answer as the 9-digit number, $\overline{ABCDEFGHI}$ .

Details and Assumptions :

• The equation is evaluated from left to right, and BODMAS does not apply.

• As an explicit example, If you think that $\color{#3D99F6}1+13\times\color{#3D99F6}2\div\color{#3D99F6}3+\color{#3D99F6}4+12\times\color{#3D99F6}5-\color{#3D99F6}6-\color{#3D99F6}11+\color{#3D99F6}7\times\color{#3D99F6}8\div\color{#3D99F6}9-10 = 66$ is true, then submit your answer as 123456789. (Note that the left hand side should evaluate to $\frac{2530}{27}$ ).

Puzzle that inspired this problem .