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Finding the Fourth Proportional to 458,723,469.20, 688,085,203.80 and 458,723,469.20

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Solution

The fourth proportional to 458,723,469.20, 688,085,203.80 and 458,723,469.20 is: 688,085,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,723,469.20 : 688,085,203.80 = 458,723,469.20 : x
  2. Step 2: Convert to fraction form
    458,723,469.20/688,085,203.80 = 458,723,469.20/x
  3. Step 3: Cross multiply
    458,723,469.20x = 688,085,203.80 × 458,723,469.20
  4. Step 4: Simplify right side
    458,723,469.20x = 315,640,831,792,324,992
  5. Step 5: Solve for x
    x = 315,640,831,792,324,992/458,723,469.20
  6. Step 6: Final answer
    x = 688,085,203.80

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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.