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Finding the Fourth Proportional to 15,142,787,997.90, 22,714,181,996.85 and 15,142,787,997.90

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Solution

The fourth proportional to 15,142,787,997.90, 22,714,181,996.85 and 15,142,787,997.90 is: 22,714,181,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142,787,997.90 : 22,714,181,996.85 = 15,142,787,997.90 : x
  2. Step 2: Convert to fraction form
    15,142,787,997.90/22,714,181,996.85 = 15,142,787,997.90/x
  3. Step 3: Cross multiply
    15,142,787,997.90x = 22,714,181,996.85 × 15,142,787,997.90
  4. Step 4: Simplify right side
    15,142,787,997.90x = 343,956,042,524,016,377,856
  5. Step 5: Solve for x
    x = 343,956,042,524,016,377,856/15,142,787,997.90
  6. Step 6: Final answer
    x = 22,714,181,996.85

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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.