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Finding the Fourth Proportional to 498,329,999.70, 747,494,999.55 and 239,482,803.30

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Solution

The fourth proportional to 498,329,999.70, 747,494,999.55 and 239,482,803.30 is: 359,224,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,329,999.70 : 747,494,999.55 = 239,482,803.30 : x
  2. Step 2: Convert to fraction form
    498,329,999.70/747,494,999.55 = 239,482,803.30/x
  3. Step 3: Cross multiply
    498,329,999.70x = 747,494,999.55 × 239,482,803.30
  4. Step 4: Simplify right side
    498,329,999.70x = 179,012,197,944,966,240
  5. Step 5: Solve for x
    x = 179,012,197,944,966,240/498,329,999.70
  6. Step 6: Final answer
    x = 359,224,204.95

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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.