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Finding the Fourth Proportional to 147,380,574.30, 220,645,708.65 and 147,380,574.30

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Solution

The fourth proportional to 147,380,574.30, 220,645,708.65 and 147,380,574.30 is: 220,645,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,380,574.30 : 220,645,708.65 = 147,380,574.30 : x
  2. Step 2: Convert to fraction form
    147,380,574.30/220,645,708.65 = 147,380,574.30/x
  3. Step 3: Cross multiply
    147,380,574.30x = 220,645,708.65 × 147,380,574.30
  4. Step 4: Simplify right side
    147,380,574.30x = 32,518,891,257,667,480
  5. Step 5: Solve for x
    x = 32,518,891,257,667,480/147,380,574.30
  6. Step 6: Final answer
    x = 220,645,708.65

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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.