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Finding the Fourth Proportional to 498,227,200.65, 747,340,800.98 and 498,227,200.65

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Solution

The fourth proportional to 498,227,200.65, 747,340,800.98 and 498,227,200.65 is: 747,340,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,227,200.65 : 747,340,800.98 = 498,227,200.65 : x
  2. Step 2: Convert to fraction form
    498,227,200.65/747,340,800.98 = 498,227,200.65/x
  3. Step 3: Cross multiply
    498,227,200.65x = 747,340,800.98 × 498,227,200.65
  4. Step 4: Simplify right side
    498,227,200.65x = 372,345,515,201,303,040
  5. Step 5: Solve for x
    x = 372,345,515,201,303,040/498,227,200.65
  6. Step 6: Final answer
    x = 747,340,800.98

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Double scale
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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.