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Finding the Fourth Proportional to 472,993,000.20, 709,489,500.30 and 472,993,000.20

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Solution

The fourth proportional to 472,993,000.20, 709,489,500.30 and 472,993,000.20 is: 709,489,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,993,000.20 : 709,489,500.30 = 472,993,000.20 : x
  2. Step 2: Convert to fraction form
    472,993,000.20/709,489,500.30 = 472,993,000.20/x
  3. Step 3: Cross multiply
    472,993,000.20x = 709,489,500.30 × 472,993,000.20
  4. Step 4: Simplify right side
    472,993,000.20x = 335,583,567,357,295,744
  5. Step 5: Solve for x
    x = 335,583,567,357,295,744/472,993,000.20
  6. Step 6: Final answer
    x = 709,489,500.30

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Double scale
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Similar ratio
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1.5x scale

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.