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Finding the Fourth Proportional to 206,876,706,723.55, 310,315,060,085.28 and 206,876,706,723.55

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Solution

The fourth proportional to 206,876,706,723.55, 310,315,060,085.28 and 206,876,706,723.55 is: 310,315,060,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,706,723.55 : 310,315,060,085.28 = 206,876,706,723.55 : x
  2. Step 2: Convert to fraction form
    206,876,706,723.55/310,315,060,085.28 = 206,876,706,723.55/x
  3. Step 3: Cross multiply
    206,876,706,723.55x = 310,315,060,085.28 × 206,876,706,723.55
  4. Step 4: Simplify right side
    206,876,706,723.55x = 64,196,957,677,163,265,392,640
  5. Step 5: Solve for x
    x = 64,196,957,677,163,265,392,640/206,876,706,723.55
  6. Step 6: Final answer
    x = 310,315,060,085.28

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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.