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Finding the Fourth Proportional to 20,747,923.20, 31,065,897.60 and 20,747,923.20

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Solution

The fourth proportional to 20,747,923.20, 31,065,897.60 and 20,747,923.20 is: 31,065,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,747,923.20 : 31,065,897.60 = 20,747,923.20 : x
  2. Step 2: Convert to fraction form
    20,747,923.20/31,065,897.60 = 20,747,923.20/x
  3. Step 3: Cross multiply
    20,747,923.20x = 31,065,897.60 × 20,747,923.20
  4. Step 4: Simplify right side
    20,747,923.20x = 644,552,857,543,864.38
  5. Step 5: Solve for x
    x = 644,552,857,543,864.38/20,747,923.20
  6. Step 6: Final answer
    x = 31,065,897.60

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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.