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Finding the Fourth Proportional to 42,906,469.60, 64,359,704.40 and 42,906,469.60

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Solution

The fourth proportional to 42,906,469.60, 64,359,704.40 and 42,906,469.60 is: 64,359,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,906,469.60 : 64,359,704.40 = 42,906,469.60 : x
  2. Step 2: Convert to fraction form
    42,906,469.60/64,359,704.40 = 42,906,469.60/x
  3. Step 3: Cross multiply
    42,906,469.60x = 64,359,704.40 × 42,906,469.60
  4. Step 4: Simplify right side
    42,906,469.60x = 2,761,447,700,303,586.50
  5. Step 5: Solve for x
    x = 2,761,447,700,303,586.50/42,906,469.60
  6. Step 6: Final answer
    x = 64,359,704.40

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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.