a : b = 4 : 7 এবং b : c = 10 : 7 হলে a : b : c কত?

The relationships given in the question can be combined to find the ratio of a : b : c. Here's how to solve it:

    
1. We have the first ratio: a : b = 4 : 7. This means for every 4 parts of a, there are 7 parts of b.
    
2. The second ratio is: b : c = 10 : 7. This means for every 10 parts of b, there are 7 parts of c.
    
3. To combine these ratios, we need to express b in terms of the same value. The common multiple for b in both ratios is 70.
    
4. From the first ratio, if b = 70, then a becomes: a = (4/7) * 70 = 40.
    
5. From the second ratio, if b = 70, then c becomes: c = (7/10) * 70 = 49.

Now we can combine the values of a, b, and c: a : b : c = 40 : 70 : 49.

Therefore, the correct answer is 40 : 70 : 49.

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