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Finding the Fourth Proportional to 357,970,786.16, 493,719,793.88 and 232,563,398

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Solution

The fourth proportional to 357,970,786.16, 493,719,793.88 and 232,563,398 is: 320,755,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,970,786.16 : 493,719,793.88 = 232,563,398 : x
  2. Step 2: Convert to fraction form
    357,970,786.16/493,719,793.88 = 232,563,398/x
  3. Step 3: Cross multiply
    357,970,786.16x = 493,719,793.88 × 232,563,398
  4. Step 4: Simplify right side
    357,970,786.16x = 114,821,152,924,592,400
  5. Step 5: Solve for x
    x = 114,821,152,924,592,400/357,970,786.16
  6. Step 6: Final answer
    x = 320,755,652.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.