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Finding the Fourth Proportional to 10,097,379,023.85, 15,146,068,535.78 and 10,097,379,023.85

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Solution

The fourth proportional to 10,097,379,023.85, 15,146,068,535.78 and 10,097,379,023.85 is: 15,146,068,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,379,023.85 : 15,146,068,535.78 = 10,097,379,023.85 : x
  2. Step 2: Convert to fraction form
    10,097,379,023.85/15,146,068,535.78 = 10,097,379,023.85/x
  3. Step 3: Cross multiply
    10,097,379,023.85x = 15,146,068,535.78 × 10,097,379,023.85
  4. Step 4: Simplify right side
    10,097,379,023.85x = 152,935,594,726,979,469,312
  5. Step 5: Solve for x
    x = 152,935,594,726,979,469,312/10,097,379,023.85
  6. Step 6: Final answer
    x = 15,146,068,535.78

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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.