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Finding the Fourth Proportional to 467,896,498.80, 703,356,402.60 and 431,616,793.20

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Solution

The fourth proportional to 467,896,498.80, 703,356,402.60 and 431,616,793.20 is: 648,819,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,896,498.80 : 703,356,402.60 = 431,616,793.20 : x
  2. Step 2: Convert to fraction form
    467,896,498.80/703,356,402.60 = 431,616,793.20/x
  3. Step 3: Cross multiply
    467,896,498.80x = 703,356,402.60 × 431,616,793.20
  4. Step 4: Simplify right side
    467,896,498.80x = 303,580,434,966,900,160
  5. Step 5: Solve for x
    x = 303,580,434,966,900,160/467,896,498.80
  6. Step 6: Final answer
    x = 648,819,633.71

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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.