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Finding the Fourth Proportional to 12,682,791,151,998, 19,024,186,727,996 and 12,682,791,151,998

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Solution

The fourth proportional to 12,682,791,151,998, 19,024,186,727,996 and 12,682,791,151,998 is: 19,024,186,727,996

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,791,151,998 : 19,024,186,727,996 = 12,682,791,151,998 : x
  2. Step 2: Convert to fraction form
    12,682,791,151,998/19,024,186,727,996 = 12,682,791,151,998/x
  3. Step 3: Cross multiply
    12,682,791,151,998x = 19,024,186,727,996 × 12,682,791,151,998
  4. Step 4: Simplify right side
    12,682,791,151,998x = 241,279,787,107,785,443,607,838,720
  5. Step 5: Solve for x
    x = 241,279,787,107,785,443,607,838,720/12,682,791,151,998
  6. Step 6: Final answer
    x = 19,024,186,727,996

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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.