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Finding the Fourth Proportional to 147,185,380.80, 220,778,071.20 and 147,185,380.80

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Solution

The fourth proportional to 147,185,380.80, 220,778,071.20 and 147,185,380.80 is: 220,778,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,185,380.80 : 220,778,071.20 = 147,185,380.80 : x
  2. Step 2: Convert to fraction form
    147,185,380.80/220,778,071.20 = 147,185,380.80/x
  3. Step 3: Cross multiply
    147,185,380.80x = 220,778,071.20 × 147,185,380.80
  4. Step 4: Simplify right side
    147,185,380.80x = 32,495,304,481,861,512
  5. Step 5: Solve for x
    x = 32,495,304,481,861,512/147,185,380.80
  6. Step 6: Final answer
    x = 220,778,071.20

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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.