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Finding the Fourth Proportional to 213,536,769.80, 320,305,154.70 and 213,536,769.80

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Solution

The fourth proportional to 213,536,769.80, 320,305,154.70 and 213,536,769.80 is: 320,305,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,536,769.80 : 320,305,154.70 = 213,536,769.80 : x
  2. Step 2: Convert to fraction form
    213,536,769.80/320,305,154.70 = 213,536,769.80/x
  3. Step 3: Cross multiply
    213,536,769.80x = 320,305,154.70 × 213,536,769.80
  4. Step 4: Simplify right side
    213,536,769.80x = 68,396,928,084,927,288
  5. Step 5: Solve for x
    x = 68,396,928,084,927,288/213,536,769.80
  6. Step 6: Final answer
    x = 320,305,154.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.