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Finding the Fourth Proportional to 498,451,602.80, 747,677,404.20 and 170,883,180.20

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Solution

The fourth proportional to 498,451,602.80, 747,677,404.20 and 170,883,180.20 is: 256,324,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,451,602.80 : 747,677,404.20 = 170,883,180.20 : x
  2. Step 2: Convert to fraction form
    498,451,602.80/747,677,404.20 = 170,883,180.20/x
  3. Step 3: Cross multiply
    498,451,602.80x = 747,677,404.20 × 170,883,180.20
  4. Step 4: Simplify right side
    498,451,602.80x = 127,765,492,593,376,832
  5. Step 5: Solve for x
    x = 127,765,492,593,376,832/498,451,602.80
  6. Step 6: Final answer
    x = 256,324,770.30

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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.