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Finding the Fourth Proportional to 930,836,469.80, 1,396,254,704.70 and 917,231,580.20

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Solution

The fourth proportional to 930,836,469.80, 1,396,254,704.70 and 917,231,580.20 is: 1,375,847,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,836,469.80 : 1,396,254,704.70 = 917,231,580.20 : x
  2. Step 2: Convert to fraction form
    930,836,469.80/1,396,254,704.70 = 917,231,580.20/x
  3. Step 3: Cross multiply
    930,836,469.80x = 1,396,254,704.70 × 917,231,580.20
  4. Step 4: Simplify right side
    930,836,469.80x = 1,280,688,909,153,665,536
  5. Step 5: Solve for x
    x = 1,280,688,909,153,665,536/930,836,469.80
  6. Step 6: Final answer
    x = 1,375,847,370.30

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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.