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Finding the Fourth Proportional to 20,865,044,145.60, 31,297,566,218.40 and 20,865,044,145.60

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Solution

The fourth proportional to 20,865,044,145.60, 31,297,566,218.40 and 20,865,044,145.60 is: 31,297,566,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865,044,145.60 : 31,297,566,218.40 = 20,865,044,145.60 : x
  2. Step 2: Convert to fraction form
    20,865,044,145.60/31,297,566,218.40 = 20,865,044,145.60/x
  3. Step 3: Cross multiply
    20,865,044,145.60x = 31,297,566,218.40 × 20,865,044,145.60
  4. Step 4: Simplify right side
    20,865,044,145.60x = 653,025,100,796,755,181,568
  5. Step 5: Solve for x
    x = 653,025,100,796,755,181,568/20,865,044,145.60
  6. Step 6: Final answer
    x = 31,297,566,218.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.