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Finding the Fourth Proportional to 263,591,978.52, 363,759,889.32 and 150,576,437.64

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Solution

The fourth proportional to 263,591,978.52, 363,759,889.32 and 150,576,437.64 is: 207,797,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,591,978.52 : 363,759,889.32 = 150,576,437.64 : x
  2. Step 2: Convert to fraction form
    263,591,978.52/363,759,889.32 = 150,576,437.64/x
  3. Step 3: Cross multiply
    263,591,978.52x = 363,759,889.32 × 150,576,437.64
  4. Step 4: Simplify right side
    263,591,978.52x = 54,773,668,290,126,272
  5. Step 5: Solve for x
    x = 54,773,668,290,126,272/263,591,978.52
  6. Step 6: Final answer
    x = 207,797,174.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.