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Finding the Fourth Proportional to 137,917,804,542.56, 206,876,706,813.84 and 137,917,804,542.56

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Solution

The fourth proportional to 137,917,804,542.56, 206,876,706,813.84 and 137,917,804,542.56 is: 206,876,706,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917,804,542.56 : 206,876,706,813.84 = 137,917,804,542.56 : x
  2. Step 2: Convert to fraction form
    137,917,804,542.56/206,876,706,813.84 = 137,917,804,542.56/x
  3. Step 3: Cross multiply
    137,917,804,542.56x = 206,876,706,813.84 × 137,917,804,542.56
  4. Step 4: Simplify right side
    137,917,804,542.56x = 28,531,981,214,759,675,494,400
  5. Step 5: Solve for x
    x = 28,531,981,214,759,675,494,400/137,917,804,542.56
  6. Step 6: Final answer
    x = 206,876,706,813.84

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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.