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Finding the Fourth Proportional to 182,993,149,871.20, 274,489,724,806.80 and 182,993,149,871.20

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Solution

The fourth proportional to 182,993,149,871.20, 274,489,724,806.80 and 182,993,149,871.20 is: 274,489,724,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,993,149,871.20 : 274,489,724,806.80 = 182,993,149,871.20 : x
  2. Step 2: Convert to fraction form
    182,993,149,871.20/274,489,724,806.80 = 182,993,149,871.20/x
  3. Step 3: Cross multiply
    182,993,149,871.20x = 274,489,724,806.80 × 182,993,149,871.20
  4. Step 4: Simplify right side
    182,993,149,871.20x = 50,229,739,349,675,194,974,208
  5. Step 5: Solve for x
    x = 50,229,739,349,675,194,974,208/182,993,149,871.20
  6. Step 6: Final answer
    x = 274,489,724,806.80

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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.