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Finding the Fourth Proportional to 209,952,174.70, 314,928,262.05 and 133,046,757.10

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Solution

The fourth proportional to 209,952,174.70, 314,928,262.05 and 133,046,757.10 is: 199,570,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,174.70 : 314,928,262.05 = 133,046,757.10 : x
  2. Step 2: Convert to fraction form
    209,952,174.70/314,928,262.05 = 133,046,757.10/x
  3. Step 3: Cross multiply
    209,952,174.70x = 314,928,262.05 × 133,046,757.10
  4. Step 4: Simplify right side
    209,952,174.70x = 41,900,183,984,891,496
  5. Step 5: Solve for x
    x = 41,900,183,984,891,496/209,952,174.70
  6. Step 6: Final answer
    x = 199,570,135.65

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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.