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Finding the Fourth Proportional to 599,102,964.80, 898,654,447.20 and 394,861,659.20

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Solution

The fourth proportional to 599,102,964.80, 898,654,447.20 and 394,861,659.20 is: 592,292,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,102,964.80 : 898,654,447.20 = 394,861,659.20 : x
  2. Step 2: Convert to fraction form
    599,102,964.80/898,654,447.20 = 394,861,659.20/x
  3. Step 3: Cross multiply
    599,102,964.80x = 898,654,447.20 × 394,861,659.20
  4. Step 4: Simplify right side
    599,102,964.80x = 354,844,186,068,850,816
  5. Step 5: Solve for x
    x = 354,844,186,068,850,816/599,102,964.80
  6. Step 6: Final answer
    x = 592,292,488.80

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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.