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Finding the Fourth Proportional to 78,246,143,195.70, 117,369,214,793.55 and 78,246,143,195.70

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Solution

The fourth proportional to 78,246,143,195.70, 117,369,214,793.55 and 78,246,143,195.70 is: 117,369,214,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246,143,195.70 : 117,369,214,793.55 = 78,246,143,195.70 : x
  2. Step 2: Convert to fraction form
    78,246,143,195.70/117,369,214,793.55 = 78,246,143,195.70/x
  3. Step 3: Cross multiply
    78,246,143,195.70x = 117,369,214,793.55 × 78,246,143,195.70
  4. Step 4: Simplify right side
    78,246,143,195.70x = 9,183,688,387,502,984,396,800
  5. Step 5: Solve for x
    x = 9,183,688,387,502,984,396,800/78,246,143,195.70
  6. Step 6: Final answer
    x = 117,369,214,793.55

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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.