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Finding the Fourth Proportional to 182,993,149,780.20, 274,489,724,670.30 and 182,993,149,780.20

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Solution

The fourth proportional to 182,993,149,780.20, 274,489,724,670.30 and 182,993,149,780.20 is: 274,489,724,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,993,149,780.20 : 274,489,724,670.30 = 182,993,149,780.20 : x
  2. Step 2: Convert to fraction form
    182,993,149,780.20/274,489,724,670.30 = 182,993,149,780.20/x
  3. Step 3: Cross multiply
    182,993,149,780.20x = 274,489,724,670.30 × 182,993,149,780.20
  4. Step 4: Simplify right side
    182,993,149,780.20x = 50,229,739,299,718,064,766,976
  5. Step 5: Solve for x
    x = 50,229,739,299,718,064,766,976/182,993,149,780.20
  6. Step 6: Final answer
    x = 274,489,724,670.30

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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.