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Finding the Fourth Proportional to 656,109,742.60, 984,164,613.90 and 656,109,742.60

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Solution

The fourth proportional to 656,109,742.60, 984,164,613.90 and 656,109,742.60 is: 984,164,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,109,742.60 : 984,164,613.90 = 656,109,742.60 : x
  2. Step 2: Convert to fraction form
    656,109,742.60/984,164,613.90 = 656,109,742.60/x
  3. Step 3: Cross multiply
    656,109,742.60x = 984,164,613.90 × 656,109,742.60
  4. Step 4: Simplify right side
    656,109,742.60x = 645,719,991,501,957,376
  5. Step 5: Solve for x
    x = 645,719,991,501,957,376/656,109,742.60
  6. Step 6: Final answer
    x = 984,164,613.90

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Why These Related Problems?

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