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Finding the Fourth Proportional to 154,524,856,533.90, 231,787,284,800.85 and 154,524,856,533.90

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Solution

The fourth proportional to 154,524,856,533.90, 231,787,284,800.85 and 154,524,856,533.90 is: 231,787,284,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,524,856,533.90 : 231,787,284,800.85 = 154,524,856,533.90 : x
  2. Step 2: Convert to fraction form
    154,524,856,533.90/231,787,284,800.85 = 154,524,856,533.90/x
  3. Step 3: Cross multiply
    154,524,856,533.90x = 231,787,284,800.85 × 154,524,856,533.90
  4. Step 4: Simplify right side
    154,524,856,533.90x = 35,816,896,930,233,563,742,208
  5. Step 5: Solve for x
    x = 35,816,896,930,233,563,742,208/154,524,856,533.90
  6. Step 6: Final answer
    x = 231,787,284,800.85

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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.