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Finding the Fourth Proportional to 209,952,199.20, 314,928,298.80 and 73,588,375.20

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Solution

The fourth proportional to 209,952,199.20, 314,928,298.80 and 73,588,375.20 is: 110,382,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,199.20 : 314,928,298.80 = 73,588,375.20 : x
  2. Step 2: Convert to fraction form
    209,952,199.20/314,928,298.80 = 73,588,375.20/x
  3. Step 3: Cross multiply
    209,952,199.20x = 314,928,298.80 × 73,588,375.20
  4. Step 4: Simplify right side
    209,952,199.20x = 23,175,061,813,192,112
  5. Step 5: Solve for x
    x = 23,175,061,813,192,112/209,952,199.20
  6. Step 6: Final answer
    x = 110,382,562.80

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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.