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Finding the Fourth Proportional to 209,952,562.60, 314,928,843.90 and 133,614,015.40

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Solution

The fourth proportional to 209,952,562.60, 314,928,843.90 and 133,614,015.40 is: 200,421,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,562.60 : 314,928,843.90 = 133,614,015.40 : x
  2. Step 2: Convert to fraction form
    209,952,562.60/314,928,843.90 = 133,614,015.40/x
  3. Step 3: Cross multiply
    209,952,562.60x = 314,928,843.90 × 133,614,015.40
  4. Step 4: Simplify right side
    209,952,562.60x = 42,078,907,398,758,792
  5. Step 5: Solve for x
    x = 42,078,907,398,758,792/209,952,562.60
  6. Step 6: Final answer
    x = 200,421,023.10

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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.