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Finding the Fourth Proportional to 209,952,469.80, 314,928,704.70 and 132,858,095.40

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Solution

The fourth proportional to 209,952,469.80, 314,928,704.70 and 132,858,095.40 is: 199,287,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,469.80 : 314,928,704.70 = 132,858,095.40 : x
  2. Step 2: Convert to fraction form
    209,952,469.80/314,928,704.70 = 132,858,095.40/x
  3. Step 3: Cross multiply
    209,952,469.80x = 314,928,704.70 × 132,858,095.40
  4. Step 4: Simplify right side
    209,952,469.80x = 41,840,827,893,231,032
  5. Step 5: Solve for x
    x = 41,840,827,893,231,032/209,952,469.80
  6. Step 6: Final answer
    x = 199,287,143.10

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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.