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Finding the Fourth Proportional to 498,329,809.20, 747,494,713.80 and 239,482,612.80

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Solution

The fourth proportional to 498,329,809.20, 747,494,713.80 and 239,482,612.80 is: 359,223,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,329,809.20 : 747,494,713.80 = 239,482,612.80 : x
  2. Step 2: Convert to fraction form
    498,329,809.20/747,494,713.80 = 239,482,612.80/x
  3. Step 3: Cross multiply
    498,329,809.20x = 747,494,713.80 × 239,482,612.80
  4. Step 4: Simplify right side
    498,329,809.20x = 179,011,987,115,012,224
  5. Step 5: Solve for x
    x = 179,011,987,115,012,224/498,329,809.20
  6. Step 6: Final answer
    x = 359,223,919.20

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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.