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Finding the Fourth Proportional to 392,255,998.80, 588,383,998.20 and 256,207,102.80

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Solution

The fourth proportional to 392,255,998.80, 588,383,998.20 and 256,207,102.80 is: 384,310,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,255,998.80 : 588,383,998.20 = 256,207,102.80 : x
  2. Step 2: Convert to fraction form
    392,255,998.80/588,383,998.20 = 256,207,102.80/x
  3. Step 3: Cross multiply
    392,255,998.80x = 588,383,998.20 × 256,207,102.80
  4. Step 4: Simplify right side
    392,255,998.80x = 150,748,159,512,702,432
  5. Step 5: Solve for x
    x = 150,748,159,512,702,432/392,255,998.80
  6. Step 6: Final answer
    x = 384,310,654.20

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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.