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Finding the Fourth Proportional to 209,659,722,406.80, 314,489,583,610.20 and 209,659,722,406.80

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Solution

The fourth proportional to 209,659,722,406.80, 314,489,583,610.20 and 209,659,722,406.80 is: 314,489,583,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,659,722,406.80 : 314,489,583,610.20 = 209,659,722,406.80 : x
  2. Step 2: Convert to fraction form
    209,659,722,406.80/314,489,583,610.20 = 209,659,722,406.80/x
  3. Step 3: Cross multiply
    209,659,722,406.80x = 314,489,583,610.20 × 209,659,722,406.80
  4. Step 4: Simplify right side
    209,659,722,406.80x = 65,935,798,799,544,650,563,584
  5. Step 5: Solve for x
    x = 65,935,798,799,544,650,563,584/209,659,722,406.80
  6. Step 6: Final answer
    x = 314,489,583,610.20

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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.