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Finding the Fourth Proportional to 407,768,234.40, 611,652,351.60 and 252,800,038.80

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Solution

The fourth proportional to 407,768,234.40, 611,652,351.60 and 252,800,038.80 is: 379,200,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,768,234.40 : 611,652,351.60 = 252,800,038.80 : x
  2. Step 2: Convert to fraction form
    407,768,234.40/611,652,351.60 = 252,800,038.80/x
  3. Step 3: Cross multiply
    407,768,234.40x = 611,652,351.60 × 252,800,038.80
  4. Step 4: Simplify right side
    407,768,234.40x = 154,625,738,216,591,264
  5. Step 5: Solve for x
    x = 154,625,738,216,591,264/407,768,234.40
  6. Step 6: Final answer
    x = 379,200,058.20

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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.