Finding the Fourth Proportional to 31,923,542,292,336, 47,885,391,909,086 and 9,002,188,732,727
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Solution
The fourth proportional to 31,923,542,292,336, 47,885,391,909,086 and 9,002,188,732,727 is: 13,503,305,227,179.63
Step by Step Solution
- Step 1: Write the proportion equation
31,923,542,292,336 : 47,885,391,909,086 = 9,002,188,732,727 : x - Step 2: Convert to fraction form
31,923,542,292,336/47,885,391,909,086 = 9,002,188,732,727/x - Step 3: Cross multiply
31,923,542,292,336x = 47,885,391,909,086 × 9,002,188,732,727 - Step 4: Simplify right side
31,923,542,292,336x = 431,073,335,506,190,660,999,839,744 - Step 5: Solve for x
x = 431,073,335,506,190,660,999,839,744/31,923,542,292,336 - Step 6: Final answer
x = 13,503,305,227,179.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.