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Finding the Fourth Proportional to 274,489,725,415.49, 411,734,588,123.23 and 274,489,725,415.49

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Solution

The fourth proportional to 274,489,725,415.49, 411,734,588,123.23 and 274,489,725,415.49 is: 411,734,588,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,489,725,415.49 : 411,734,588,123.23 = 274,489,725,415.49 : x
  2. Step 2: Convert to fraction form
    274,489,725,415.49/411,734,588,123.23 = 274,489,725,415.49/x
  3. Step 3: Cross multiply
    274,489,725,415.49x = 411,734,588,123.23 × 274,489,725,415.49
  4. Step 4: Simplify right side
    274,489,725,415.49x = 113,016,914,038,005,266,644,992
  5. Step 5: Solve for x
    x = 113,016,914,038,005,266,644,992/274,489,725,415.49
  6. Step 6: Final answer
    x = 411,734,588,123.23

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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.