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Finding the Fourth Proportional to 107,682,048,015.90, 161,523,072,023.85 and 107,682,048,015.90

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Solution

The fourth proportional to 107,682,048,015.90, 161,523,072,023.85 and 107,682,048,015.90 is: 161,523,072,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,682,048,015.90 : 161,523,072,023.85 = 107,682,048,015.90 : x
  2. Step 2: Convert to fraction form
    107,682,048,015.90/161,523,072,023.85 = 107,682,048,015.90/x
  3. Step 3: Cross multiply
    107,682,048,015.90x = 161,523,072,023.85 × 107,682,048,015.90
  4. Step 4: Simplify right side
    107,682,048,015.90x = 17,393,135,197,347,888,758,784
  5. Step 5: Solve for x
    x = 17,393,135,197,347,888,758,784/107,682,048,015.90
  6. Step 6: Final answer
    x = 161,523,072,023.85

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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.