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Finding the Fourth Proportional to 137,640,292,230.52, 206,460,438,345.78 and 137,640,292,230.52

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Solution

The fourth proportional to 137,640,292,230.52, 206,460,438,345.78 and 137,640,292,230.52 is: 206,460,438,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640,292,230.52 : 206,460,438,345.78 = 137,640,292,230.52 : x
  2. Step 2: Convert to fraction form
    137,640,292,230.52/206,460,438,345.78 = 137,640,292,230.52/x
  3. Step 3: Cross multiply
    137,640,292,230.52x = 206,460,438,345.78 × 137,640,292,230.52
  4. Step 4: Simplify right side
    137,640,292,230.52x = 28,417,275,067,954,412,650,496
  5. Step 5: Solve for x
    x = 28,417,275,067,954,412,650,496/137,640,292,230.52
  6. Step 6: Final answer
    x = 206,460,438,345.78

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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.