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Finding the Fourth Proportional to 498,980,693.88, 747,883,254.60 and 203,691,398.22

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Solution

The fourth proportional to 498,980,693.88, 747,883,254.60 and 203,691,398.22 is: 305,297,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,980,693.88 : 747,883,254.60 = 203,691,398.22 : x
  2. Step 2: Convert to fraction form
    498,980,693.88/747,883,254.60 = 203,691,398.22/x
  3. Step 3: Cross multiply
    498,980,693.88x = 747,883,254.60 × 203,691,398.22
  4. Step 4: Simplify right side
    498,980,693.88x = 152,337,385,834,798,240
  5. Step 5: Solve for x
    x = 152,337,385,834,798,240/498,980,693.88
  6. Step 6: Final answer
    x = 305,297,154.18

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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.