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Finding the Fourth Proportional to 150,510,876.30, 225,766,314.45 and 150,510,876.30

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Solution

The fourth proportional to 150,510,876.30, 225,766,314.45 and 150,510,876.30 is: 225,766,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,510,876.30 : 225,766,314.45 = 150,510,876.30 : x
  2. Step 2: Convert to fraction form
    150,510,876.30/225,766,314.45 = 150,510,876.30/x
  3. Step 3: Cross multiply
    150,510,876.30x = 225,766,314.45 × 150,510,876.30
  4. Step 4: Simplify right side
    150,510,876.30x = 33,980,285,826,890,852
  5. Step 5: Solve for x
    x = 33,980,285,826,890,852/150,510,876.30
  6. Step 6: Final answer
    x = 225,766,314.45

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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.