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Finding the Fourth Proportional to 206,876,706,722.55, 310,315,060,083.82 and 206,876,706,722.55

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Solution

The fourth proportional to 206,876,706,722.55, 310,315,060,083.82 and 206,876,706,722.55 is: 310,315,060,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,706,722.55 : 310,315,060,083.82 = 206,876,706,722.55 : x
  2. Step 2: Convert to fraction form
    206,876,706,722.55/310,315,060,083.82 = 206,876,706,722.55/x
  3. Step 3: Cross multiply
    206,876,706,722.55x = 310,315,060,083.82 × 206,876,706,722.55
  4. Step 4: Simplify right side
    206,876,706,722.55x = 64,196,957,676,550,913,785,856
  5. Step 5: Solve for x
    x = 64,196,957,676,550,913,785,856/206,876,706,722.55
  6. Step 6: Final answer
    x = 310,315,060,083.82

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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.