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Finding the Fourth Proportional to 137,917,804,531.30, 206,876,706,796.96 and 137,917,804,531.30

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Solution

The fourth proportional to 137,917,804,531.30, 206,876,706,796.96 and 137,917,804,531.30 is: 206,876,706,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917,804,531.30 : 206,876,706,796.96 = 137,917,804,531.30 : x
  2. Step 2: Convert to fraction form
    137,917,804,531.30/206,876,706,796.96 = 137,917,804,531.30/x
  3. Step 3: Cross multiply
    137,917,804,531.30x = 206,876,706,796.96 × 137,917,804,531.30
  4. Step 4: Simplify right side
    137,917,804,531.30x = 28,531,981,210,102,186,115,072
  5. Step 5: Solve for x
    x = 28,531,981,210,102,186,115,072/137,917,804,531.30
  6. Step 6: Final answer
    x = 206,876,706,796.96

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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.