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Finding the Fourth Proportional to 274,489,725,414.49, 411,734,588,121.73 and 274,489,725,414.49

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Solution

The fourth proportional to 274,489,725,414.49, 411,734,588,121.73 and 274,489,725,414.49 is: 411,734,588,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,489,725,414.49 : 411,734,588,121.73 = 274,489,725,414.49 : x
  2. Step 2: Convert to fraction form
    274,489,725,414.49/411,734,588,121.73 = 274,489,725,414.49/x
  3. Step 3: Cross multiply
    274,489,725,414.49x = 411,734,588,121.73 × 274,489,725,414.49
  4. Step 4: Simplify right side
    274,489,725,414.49x = 113,016,914,037,181,790,552,064
  5. Step 5: Solve for x
    x = 113,016,914,037,181,790,552,064/274,489,725,414.49
  6. Step 6: Final answer
    x = 411,734,588,121.73

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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.