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Finding the Fourth Proportional to 265,697,193.15, 398,545,789.73 and 149,471,046.45

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Solution

The fourth proportional to 265,697,193.15, 398,545,789.73 and 149,471,046.45 is: 224,206,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,697,193.15 : 398,545,789.73 = 149,471,046.45 : x
  2. Step 2: Convert to fraction form
    265,697,193.15/398,545,789.73 = 149,471,046.45/x
  3. Step 3: Cross multiply
    265,697,193.15x = 398,545,789.73 × 149,471,046.45
  4. Step 4: Simplify right side
    265,697,193.15x = 59,571,056,248,437,408
  5. Step 5: Solve for x
    x = 59,571,056,248,437,408/265,697,193.15
  6. Step 6: Final answer
    x = 224,206,569.68

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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.