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Finding the Fourth Proportional to 274,854,640.65, 412,281,960.98 and 274,854,640.65

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Solution

The fourth proportional to 274,854,640.65, 412,281,960.98 and 274,854,640.65 is: 412,281,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,854,640.65 : 412,281,960.98 = 274,854,640.65 : x
  2. Step 2: Convert to fraction form
    274,854,640.65/412,281,960.98 = 274,854,640.65/x
  3. Step 3: Cross multiply
    274,854,640.65x = 412,281,960.98 × 274,854,640.65
  4. Step 4: Simplify right side
    274,854,640.65x = 113,317,610,230,260,944
  5. Step 5: Solve for x
    x = 113,317,610,230,260,944/274,854,640.65
  6. Step 6: Final answer
    x = 412,281,960.98

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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.