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Finding the Fourth Proportional to 125,500,179,000.06, 188,250,268,500.09 and 125,500,179,000.06

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Solution

The fourth proportional to 125,500,179,000.06, 188,250,268,500.09 and 125,500,179,000.06 is: 188,250,268,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,500,179,000.06 : 188,250,268,500.09 = 125,500,179,000.06 : x
  2. Step 2: Convert to fraction form
    125,500,179,000.06/188,250,268,500.09 = 125,500,179,000.06/x
  3. Step 3: Cross multiply
    125,500,179,000.06x = 188,250,268,500.09 × 125,500,179,000.06
  4. Step 4: Simplify right side
    125,500,179,000.06x = 23,625,442,393,570,649,571,328
  5. Step 5: Solve for x
    x = 23,625,442,393,570,649,571,328/125,500,179,000.06
  6. Step 6: Final answer
    x = 188,250,268,500.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.