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Finding the Fourth Proportional to 644,008,972.80, 966,013,459.20 and 644,008,972.80

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Solution

The fourth proportional to 644,008,972.80, 966,013,459.20 and 644,008,972.80 is: 966,013,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,008,972.80 : 966,013,459.20 = 644,008,972.80 : x
  2. Step 2: Convert to fraction form
    644,008,972.80/966,013,459.20 = 644,008,972.80/x
  3. Step 3: Cross multiply
    644,008,972.80x = 966,013,459.20 × 644,008,972.80
  4. Step 4: Simplify right side
    644,008,972.80x = 622,121,335,570,366,720
  5. Step 5: Solve for x
    x = 622,121,335,570,366,720/644,008,972.80
  6. Step 6: Final answer
    x = 966,013,459.20

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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.