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Finding the Fourth Proportional to 154,524,856,866.90, 231,787,285,300.35 and 154,524,856,866.90

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Solution

The fourth proportional to 154,524,856,866.90, 231,787,285,300.35 and 154,524,856,866.90 is: 231,787,285,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,524,856,866.90 : 231,787,285,300.35 = 154,524,856,866.90 : x
  2. Step 2: Convert to fraction form
    154,524,856,866.90/231,787,285,300.35 = 154,524,856,866.90/x
  3. Step 3: Cross multiply
    154,524,856,866.90x = 231,787,285,300.35 × 154,524,856,866.90
  4. Step 4: Simplify right side
    154,524,856,866.90x = 35,816,897,084,603,899,052,032
  5. Step 5: Solve for x
    x = 35,816,897,084,603,899,052,032/154,524,856,866.90
  6. Step 6: Final answer
    x = 231,787,285,300.35

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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.