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Finding the Fourth Proportional to 137,917,804,467.73, 206,876,706,701.59 and 137,917,804,467.73

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Solution

The fourth proportional to 137,917,804,467.73, 206,876,706,701.59 and 137,917,804,467.73 is: 206,876,706,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917,804,467.73 : 206,876,706,701.59 = 137,917,804,467.73 : x
  2. Step 2: Convert to fraction form
    137,917,804,467.73/206,876,706,701.59 = 137,917,804,467.73/x
  3. Step 3: Cross multiply
    137,917,804,467.73x = 206,876,706,701.59 × 137,917,804,467.73
  4. Step 4: Simplify right side
    137,917,804,467.73x = 28,531,981,183,797,818,294,272
  5. Step 5: Solve for x
    x = 28,531,981,183,797,818,294,272/137,917,804,467.73
  6. Step 6: Final answer
    x = 206,876,706,701.59

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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.