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Finding the Fourth Proportional to 147,139,947.20, 220,709,920.80 and 147,139,947.20

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Solution

The fourth proportional to 147,139,947.20, 220,709,920.80 and 147,139,947.20 is: 220,709,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,139,947.20 : 220,709,920.80 = 147,139,947.20 : x
  2. Step 2: Convert to fraction form
    147,139,947.20/220,709,920.80 = 147,139,947.20/x
  3. Step 3: Cross multiply
    147,139,947.20x = 220,709,920.80 × 147,139,947.20
  4. Step 4: Simplify right side
    147,139,947.20x = 32,475,246,093,028,180
  5. Step 5: Solve for x
    x = 32,475,246,093,028,180/147,139,947.20
  6. Step 6: Final answer
    x = 220,709,920.80

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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.