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Finding the Fourth Proportional to 20,954,242,891.60, 31,431,364,337.40 and 20,954,242,891.60

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Solution

The fourth proportional to 20,954,242,891.60, 31,431,364,337.40 and 20,954,242,891.60 is: 31,431,364,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954,242,891.60 : 31,431,364,337.40 = 20,954,242,891.60 : x
  2. Step 2: Convert to fraction form
    20,954,242,891.60/31,431,364,337.40 = 20,954,242,891.60/x
  3. Step 3: Cross multiply
    20,954,242,891.60x = 31,431,364,337.40 × 20,954,242,891.60
  4. Step 4: Simplify right side
    20,954,242,891.60x = 658,620,442,740,253,655,040
  5. Step 5: Solve for x
    x = 658,620,442,740,253,655,040/20,954,242,891.60
  6. Step 6: Final answer
    x = 31,431,364,337.40

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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.