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Finding the Fourth Proportional to 146,908,933.10, 220,097,978.85 and 125,675,269.10

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Solution

The fourth proportional to 146,908,933.10, 220,097,978.85 and 125,675,269.10 is: 188,285,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,908,933.10 : 220,097,978.85 = 125,675,269.10 : x
  2. Step 2: Convert to fraction form
    146,908,933.10/220,097,978.85 = 125,675,269.10/x
  3. Step 3: Cross multiply
    146,908,933.10x = 220,097,978.85 × 125,675,269.10
  4. Step 4: Simplify right side
    146,908,933.10x = 27,660,872,720,339,856
  5. Step 5: Solve for x
    x = 27,660,872,720,339,856/146,908,933.10
  6. Step 6: Final answer
    x = 188,285,845.77

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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.