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Finding the Fourth Proportional to 80,851,928,180.10, 121,277,892,270.15 and 80,851,928,180.10

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Solution

The fourth proportional to 80,851,928,180.10, 121,277,892,270.15 and 80,851,928,180.10 is: 121,277,892,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,851,928,180.10 : 121,277,892,270.15 = 80,851,928,180.10 : x
  2. Step 2: Convert to fraction form
    80,851,928,180.10/121,277,892,270.15 = 80,851,928,180.10/x
  3. Step 3: Cross multiply
    80,851,928,180.10x = 121,277,892,270.15 × 80,851,928,180.10
  4. Step 4: Simplify right side
    80,851,928,180.10x = 9,805,551,435,660,073,631,744
  5. Step 5: Solve for x
    x = 9,805,551,435,660,073,631,744/80,851,928,180.10
  6. Step 6: Final answer
    x = 121,277,892,270.15

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Double scale
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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.