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Finding the Fourth Proportional to 209,953,198.20, 314,929,797.30 and 73,589,374.20

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Solution

The fourth proportional to 209,953,198.20, 314,929,797.30 and 73,589,374.20 is: 110,384,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,198.20 : 314,929,797.30 = 73,589,374.20 : x
  2. Step 2: Convert to fraction form
    209,953,198.20/314,929,797.30 = 73,589,374.20/x
  3. Step 3: Cross multiply
    209,953,198.20x = 314,929,797.30 × 73,589,374.20
  4. Step 4: Simplify right side
    209,953,198.20x = 23,175,486,700,239,852
  5. Step 5: Solve for x
    x = 23,175,486,700,239,852/209,953,198.20
  6. Step 6: Final answer
    x = 110,384,061.30

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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.