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Finding the Fourth Proportional to 168,982,969,641.60, 253,474,454,462.40 and 168,982,969,641.60

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Solution

The fourth proportional to 168,982,969,641.60, 253,474,454,462.40 and 168,982,969,641.60 is: 253,474,454,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,982,969,641.60 : 253,474,454,462.40 = 168,982,969,641.60 : x
  2. Step 2: Convert to fraction form
    168,982,969,641.60/253,474,454,462.40 = 168,982,969,641.60/x
  3. Step 3: Cross multiply
    168,982,969,641.60x = 253,474,454,462.40 × 168,982,969,641.60
  4. Step 4: Simplify right side
    168,982,969,641.60x = 42,832,866,043,340,863,307,776
  5. Step 5: Solve for x
    x = 42,832,866,043,340,863,307,776/168,982,969,641.60
  6. Step 6: Final answer
    x = 253,474,454,462.40

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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.