Finding the Fourth Proportional to 51,722,550,764,467, 71,377,565,171,668 and 29,500,974,198,291
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Solution
The fourth proportional to 51,722,550,764,467, 71,377,565,171,668 and 29,500,974,198,291 is: 40,711,598,274,708.78
Step by Step Solution
- Step 1: Write the proportion equation
51,722,550,764,467 : 71,377,565,171,668 = 29,500,974,198,291 : x - Step 2: Convert to fraction form
51,722,550,764,467/71,377,565,171,668 = 29,500,974,198,291/x - Step 3: Cross multiply
51,722,550,764,467x = 71,377,565,171,668 × 29,500,974,198,291 - Step 4: Simplify right side
51,722,550,764,467x = 2,105,707,708,466,211,889,816,272,896 - Step 5: Solve for x
x = 2,105,707,708,466,211,889,816,272,896/51,722,550,764,467 - Step 6: Final answer
x = 40,711,598,274,708.78
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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.