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Finding the Fourth Proportional to 206,876,706,808.45, 310,315,060,212.69 and 206,876,706,808.45

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Solution

The fourth proportional to 206,876,706,808.45, 310,315,060,212.69 and 206,876,706,808.45 is: 310,315,060,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,706,808.45 : 310,315,060,212.69 = 206,876,706,808.45 : x
  2. Step 2: Convert to fraction form
    206,876,706,808.45/310,315,060,212.69 = 206,876,706,808.45/x
  3. Step 3: Cross multiply
    206,876,706,808.45x = 310,315,060,212.69 × 206,876,706,808.45
  4. Step 4: Simplify right side
    206,876,706,808.45x = 64,196,957,729,867,178,180,608
  5. Step 5: Solve for x
    x = 64,196,957,729,867,178,180,608/206,876,706,808.45
  6. Step 6: Final answer
    x = 310,315,060,212.69

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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.