Z7-I-4 stars 4949

Write instead of stars digits so the next write of product of the two numbers to be valid:
∗ ∗ ∗
· ∗ ∗ ∗
∗ ∗ ∗ ∗
4 9 4 9
∗ ∗ ∗
∗ ∗ ∗ 4 ∗ ∗

Correct answer:

a =  707
b =  176
c =  124432

Step-by-step explanation:

$$\begin{gathered} 4949=7\cdot 7\cdot 101=7^2\cdot 101 \\ a=4949\mathrm{/}7=707 \end{gathered}$$

$b=176=176$

$$\begin{gathered} c=a\cdot b=707\cdot 176=124432 \\ {s}_1=a\cdot 6=707\cdot 6=4242 \\ {s}_2=a\cdot 7\cdot 10=707\cdot 7\cdot 10=49490 \\ {s}_3=a\cdot 1\cdot 100=707\cdot 1\cdot 100=70700 \\ c=s_4=s_1+s_2+s_3=4242+49490+70700=124432=124432 \end{gathered}$$

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