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Finding the Fourth Proportional to 272,629,203,415.43, 408,943,805,123.15 and 272,629,203,415.43

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Solution

The fourth proportional to 272,629,203,415.43, 408,943,805,123.15 and 272,629,203,415.43 is: 408,943,805,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,629,203,415.43 : 408,943,805,123.15 = 272,629,203,415.43 : x
  2. Step 2: Convert to fraction form
    272,629,203,415.43/408,943,805,123.15 = 272,629,203,415.43/x
  3. Step 3: Cross multiply
    272,629,203,415.43x = 408,943,805,123.15 × 272,629,203,415.43
  4. Step 4: Simplify right side
    272,629,203,415.43x = 111,490,023,832,399,229,485,056
  5. Step 5: Solve for x
    x = 111,490,023,832,399,229,485,056/272,629,203,415.43
  6. Step 6: Final answer
    x = 408,943,805,123.15

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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.