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Finding the Fourth Proportional to 81,723,815,998.40, 122,585,723,997.60 and 81,723,815,998.40

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Solution

The fourth proportional to 81,723,815,998.40, 122,585,723,997.60 and 81,723,815,998.40 is: 122,585,723,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,723,815,998.40 : 122,585,723,997.60 = 81,723,815,998.40 : x
  2. Step 2: Convert to fraction form
    81,723,815,998.40/122,585,723,997.60 = 81,723,815,998.40/x
  3. Step 3: Cross multiply
    81,723,815,998.40x = 122,585,723,997.60 × 81,723,815,998.40
  4. Step 4: Simplify right side
    81,723,815,998.40x = 10,018,173,152,010,510,008,320
  5. Step 5: Solve for x
    x = 10,018,173,152,010,510,008,320/81,723,815,998.40
  6. Step 6: Final answer
    x = 122,585,723,997.60

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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.