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Finding the Fourth Proportional to 137,917,804,590.55, 206,876,706,885.82 and 137,917,804,590.55

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Solution

The fourth proportional to 137,917,804,590.55, 206,876,706,885.82 and 137,917,804,590.55 is: 206,876,706,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917,804,590.55 : 206,876,706,885.82 = 137,917,804,590.55 : x
  2. Step 2: Convert to fraction form
    137,917,804,590.55/206,876,706,885.82 = 137,917,804,590.55/x
  3. Step 3: Cross multiply
    137,917,804,590.55x = 206,876,706,885.82 × 137,917,804,590.55
  4. Step 4: Simplify right side
    137,917,804,590.55x = 28,531,981,234,615,011,508,224
  5. Step 5: Solve for x
    x = 28,531,981,234,615,011,508,224/137,917,804,590.55
  6. Step 6: Final answer
    x = 206,876,706,885.82

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1.5x scale

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.