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Finding the Fourth Proportional to 137,355,428,016.80, 206,033,142,025.20 and 137,355,428,016.80

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Solution

The fourth proportional to 137,355,428,016.80, 206,033,142,025.20 and 137,355,428,016.80 is: 206,033,142,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,355,428,016.80 : 206,033,142,025.20 = 137,355,428,016.80 : x
  2. Step 2: Convert to fraction form
    137,355,428,016.80/206,033,142,025.20 = 137,355,428,016.80/x
  3. Step 3: Cross multiply
    137,355,428,016.80x = 206,033,142,025.20 × 137,355,428,016.80
  4. Step 4: Simplify right side
    137,355,428,016.80x = 28,299,770,408,517,490,442,240
  5. Step 5: Solve for x
    x = 28,299,770,408,517,490,442,240/137,355,428,016.80
  6. Step 6: Final answer
    x = 206,033,142,025.20

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1.5x scale

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.