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Finding the Fourth Proportional to 12,132,158,718.70, 18,171,028,298.85 and 12,132,158,718.70

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Solution

The fourth proportional to 12,132,158,718.70, 18,171,028,298.85 and 12,132,158,718.70 is: 18,171,028,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132,158,718.70 : 18,171,028,298.85 = 12,132,158,718.70 : x
  2. Step 2: Convert to fraction form
    12,132,158,718.70/18,171,028,298.85 = 12,132,158,718.70/x
  3. Step 3: Cross multiply
    12,132,158,718.70x = 18,171,028,298.85 × 12,132,158,718.70
  4. Step 4: Simplify right side
    12,132,158,718.70x = 220,453,799,403,637,440,512
  5. Step 5: Solve for x
    x = 220,453,799,403,637,440,512/12,132,158,718.70
  6. Step 6: Final answer
    x = 18,171,028,298.85

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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.