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Finding the Fourth Proportional to 276,876,223.80, 415,314,335.70 and 276,876,223.80

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Solution

The fourth proportional to 276,876,223.80, 415,314,335.70 and 276,876,223.80 is: 415,314,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,876,223.80 : 415,314,335.70 = 276,876,223.80 : x
  2. Step 2: Convert to fraction form
    276,876,223.80/415,314,335.70 = 276,876,223.80/x
  3. Step 3: Cross multiply
    276,876,223.80x = 415,314,335.70 × 276,876,223.80
  4. Step 4: Simplify right side
    276,876,223.80x = 114,990,664,958,621,536
  5. Step 5: Solve for x
    x = 114,990,664,958,621,536/276,876,223.80
  6. Step 6: Final answer
    x = 415,314,335.70

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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.