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Finding the Fourth Proportional to 18,187,298,081.70, 27,280,947,122.55 and 18,187,298,081.70

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Solution

The fourth proportional to 18,187,298,081.70, 27,280,947,122.55 and 18,187,298,081.70 is: 27,280,947,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,187,298,081.70 : 27,280,947,122.55 = 18,187,298,081.70 : x
  2. Step 2: Convert to fraction form
    18,187,298,081.70/27,280,947,122.55 = 18,187,298,081.70/x
  3. Step 3: Cross multiply
    18,187,298,081.70x = 27,280,947,122.55 × 18,187,298,081.70
  4. Step 4: Simplify right side
    18,187,298,081.70x = 496,166,717,268,912,766,976
  5. Step 5: Solve for x
    x = 496,166,717,268,912,766,976/18,187,298,081.70
  6. Step 6: Final answer
    x = 27,280,947,122.55

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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.