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Finding the Fourth Proportional to 147,517,813.80, 206,827,270.20 and 147,517,813.80

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Solution

The fourth proportional to 147,517,813.80, 206,827,270.20 and 147,517,813.80 is: 206,827,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,517,813.80 : 206,827,270.20 = 147,517,813.80 : x
  2. Step 2: Convert to fraction form
    147,517,813.80/206,827,270.20 = 147,517,813.80/x
  3. Step 3: Cross multiply
    147,517,813.80x = 206,827,270.20 × 147,517,813.80
  4. Step 4: Simplify right side
    147,517,813.80x = 30,510,706,734,125,888
  5. Step 5: Solve for x
    x = 30,510,706,734,125,888/147,517,813.80
  6. Step 6: Final answer
    x = 206,827,270.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.