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Finding the Fourth Proportional to 209,952,529.80, 314,928,794.70 and 132,858,155.40

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Solution

The fourth proportional to 209,952,529.80, 314,928,794.70 and 132,858,155.40 is: 199,287,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,529.80 : 314,928,794.70 = 132,858,155.40 : x
  2. Step 2: Convert to fraction form
    209,952,529.80/314,928,794.70 = 132,858,155.40/x
  3. Step 3: Cross multiply
    209,952,529.80x = 314,928,794.70 × 132,858,155.40
  4. Step 4: Simplify right side
    209,952,529.80x = 41,840,858,746,187,296
  5. Step 5: Solve for x
    x = 41,840,858,746,187,296/209,952,529.80
  6. Step 6: Final answer
    x = 199,287,233.10

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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.