Finding the Fourth Proportional to 51,722,550,764,470, 71,377,565,171,672 and 29,500,974,198,294
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Solution
The fourth proportional to 51,722,550,764,470, 71,377,565,171,672 and 29,500,974,198,294 is: 40,711,598,274,712.84
Step by Step Solution
- Step 1: Write the proportion equation
51,722,550,764,470 : 71,377,565,171,672 = 29,500,974,198,294 : x - Step 2: Convert to fraction form
51,722,550,764,470/71,377,565,171,672 = 29,500,974,198,294/x - Step 3: Cross multiply
51,722,550,764,470x = 71,377,565,171,672 × 29,500,974,198,294 - Step 4: Simplify right side
51,722,550,764,470x = 2,105,707,708,466,544,217,205,768,192 - Step 5: Solve for x
x = 2,105,707,708,466,544,217,205,768,192/51,722,550,764,470 - Step 6: Final answer
x = 40,711,598,274,712.84
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.