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Finding the Fourth Proportional to 127,542,096,000.80, 191,313,144,001.23 and 127,542,096,000.80

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Solution

The fourth proportional to 127,542,096,000.80, 191,313,144,001.23 and 127,542,096,000.80 is: 191,313,144,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,542,096,000.80 : 191,313,144,001.23 = 127,542,096,000.80 : x
  2. Step 2: Convert to fraction form
    127,542,096,000.80/191,313,144,001.23 = 127,542,096,000.80/x
  3. Step 3: Cross multiply
    127,542,096,000.80x = 191,313,144,001.23 × 127,542,096,000.80
  4. Step 4: Simplify right side
    127,542,096,000.80x = 24,400,479,378,419,755,253,760
  5. Step 5: Solve for x
    x = 24,400,479,378,419,755,253,760/127,542,096,000.80
  6. Step 6: Final answer
    x = 191,313,144,001.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.