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Finding the Fourth Proportional to 182,993,149,780.76, 274,489,724,671.14 and 182,993,149,780.76

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Solution

The fourth proportional to 182,993,149,780.76, 274,489,724,671.14 and 182,993,149,780.76 is: 274,489,724,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,993,149,780.76 : 274,489,724,671.14 = 182,993,149,780.76 : x
  2. Step 2: Convert to fraction form
    182,993,149,780.76/274,489,724,671.14 = 182,993,149,780.76/x
  3. Step 3: Cross multiply
    182,993,149,780.76x = 274,489,724,671.14 × 182,993,149,780.76
  4. Step 4: Simplify right side
    182,993,149,780.76x = 50,229,739,300,025,498,861,568
  5. Step 5: Solve for x
    x = 50,229,739,300,025,498,861,568/182,993,149,780.76
  6. Step 6: Final answer
    x = 274,489,724,671.14

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.