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Finding the Fourth Proportional to 496,915,960.80, 745,366,942.80 and 224,286,290.40

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Solution

The fourth proportional to 496,915,960.80, 745,366,942.80 and 224,286,290.40 is: 336,426,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,915,960.80 : 745,366,942.80 = 224,286,290.40 : x
  2. Step 2: Convert to fraction form
    496,915,960.80/745,366,942.80 = 224,286,290.40/x
  3. Step 3: Cross multiply
    496,915,960.80x = 745,366,942.80 × 224,286,290.40
  4. Step 4: Simplify right side
    496,915,960.80x = 167,175,586,587,400,992
  5. Step 5: Solve for x
    x = 167,175,586,587,400,992/496,915,960.80
  6. Step 6: Final answer
    x = 336,426,276.83

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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.