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Finding the Fourth Proportional to 164,809,277.20, 247,253,281.80 and 49,794,947.20

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Solution

The fourth proportional to 164,809,277.20, 247,253,281.80 and 49,794,947.20 is: 74,704,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,809,277.20 : 247,253,281.80 = 49,794,947.20 : x
  2. Step 2: Convert to fraction form
    164,809,277.20/247,253,281.80 = 49,794,947.20/x
  3. Step 3: Cross multiply
    164,809,277.20x = 247,253,281.80 × 49,794,947.20
  4. Step 4: Simplify right side
    164,809,277.20x = 12,311,964,112,257,722
  5. Step 5: Solve for x
    x = 12,311,964,112,257,722/164,809,277.20
  6. Step 6: Final answer
    x = 74,704,314.72

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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.