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Finding the Fourth Proportional to 182,993,149,817.20, 274,489,724,725.80 and 182,993,149,817.20

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Solution

The fourth proportional to 182,993,149,817.20, 274,489,724,725.80 and 182,993,149,817.20 is: 274,489,724,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,993,149,817.20 : 274,489,724,725.80 = 182,993,149,817.20 : x
  2. Step 2: Convert to fraction form
    182,993,149,817.20/274,489,724,725.80 = 182,993,149,817.20/x
  3. Step 3: Cross multiply
    182,993,149,817.20x = 274,489,724,725.80 × 182,993,149,817.20
  4. Step 4: Simplify right side
    182,993,149,817.20x = 50,229,739,320,030,307,287,040
  5. Step 5: Solve for x
    x = 50,229,739,320,030,307,287,040/182,993,149,817.20
  6. Step 6: Final answer
    x = 274,489,724,725.80

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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.