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Finding the Fourth Proportional to 275,454,523,807.40, 413,181,785,711.10 and 275,454,523,807.40

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Solution

The fourth proportional to 275,454,523,807.40, 413,181,785,711.10 and 275,454,523,807.40 is: 413,181,785,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,454,523,807.40 : 413,181,785,711.10 = 275,454,523,807.40 : x
  2. Step 2: Convert to fraction form
    275,454,523,807.40/413,181,785,711.10 = 275,454,523,807.40/x
  3. Step 3: Cross multiply
    275,454,523,807.40x = 413,181,785,711.10 × 275,454,523,807.40
  4. Step 4: Simplify right side
    275,454,523,807.40x = 113,812,792,028,942,242,414,592
  5. Step 5: Solve for x
    x = 113,812,792,028,942,242,414,592/275,454,523,807.40
  6. Step 6: Final answer
    x = 413,181,785,711.10

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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.