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Finding the Fourth Proportional to 137,917,804,537.56, 206,876,706,806.34 and 137,917,804,537.56

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Solution

The fourth proportional to 137,917,804,537.56, 206,876,706,806.34 and 137,917,804,537.56 is: 206,876,706,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917,804,537.56 : 206,876,706,806.34 = 137,917,804,537.56 : x
  2. Step 2: Convert to fraction form
    137,917,804,537.56/206,876,706,806.34 = 137,917,804,537.56/x
  3. Step 3: Cross multiply
    137,917,804,537.56x = 206,876,706,806.34 × 137,917,804,537.56
  4. Step 4: Simplify right side
    137,917,804,537.56x = 28,531,981,212,690,906,349,568
  5. Step 5: Solve for x
    x = 28,531,981,212,690,906,349,568/137,917,804,537.56
  6. Step 6: Final answer
    x = 206,876,706,806.34

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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.