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Finding the Fourth Proportional to 496,915,872.80, 745,366,810.80 and 224,286,202.40

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Solution

The fourth proportional to 496,915,872.80, 745,366,810.80 and 224,286,202.40 is: 336,426,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,915,872.80 : 745,366,810.80 = 224,286,202.40 : x
  2. Step 2: Convert to fraction form
    496,915,872.80/745,366,810.80 = 224,286,202.40/x
  3. Step 3: Cross multiply
    496,915,872.80x = 745,366,810.80 × 224,286,202.40
  4. Step 4: Simplify right side
    496,915,872.80x = 167,175,491,389,331,296
  5. Step 5: Solve for x
    x = 167,175,491,389,331,296/496,915,872.80
  6. Step 6: Final answer
    x = 336,426,144.83

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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.