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 ∗ ∗

Result

a =  707
b =  176
c =  124432

Solution:

4949=7⋅ 7⋅ 101=72⋅ 101 a=4949/7=7074949=7 \cdot \ 7 \cdot \ 101=7^2 \cdot \ 101 \ \\ a=4949/7=707
b=176b=176
c=a⋅ b=707⋅ 176=124432 s1=a⋅ 6=707⋅ 6=4242 s2=a⋅ 7⋅ 10=707⋅ 7⋅ 10=49490 s3=a⋅ 1⋅ 100=707⋅ 1⋅ 100=70700 s4=s1+s2+s3=4242+49490+70700=124432c=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 \ \\ s_{4}=s_{1}+s_{2}+s_{3}=4242+49490+70700=124432

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