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Finding the Fourth Proportional to 391,593,527,998.40, 587,390,291,997.60 and 391,593,527,998.40

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Solution

The fourth proportional to 391,593,527,998.40, 587,390,291,997.60 and 391,593,527,998.40 is: 587,390,291,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,593,527,998.40 : 587,390,291,997.60 = 391,593,527,998.40 : x
  2. Step 2: Convert to fraction form
    391,593,527,998.40/587,390,291,997.60 = 391,593,527,998.40/x
  3. Step 3: Cross multiply
    391,593,527,998.40x = 587,390,291,997.60 × 391,593,527,998.40
  4. Step 4: Simplify right side
    391,593,527,998.40x = 230,018,236,755,350,533,439,488
  5. Step 5: Solve for x
    x = 230,018,236,755,350,533,439,488/391,593,527,998.40
  6. Step 6: Final answer
    x = 587,390,291,997.60

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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.