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Finding the Fourth Proportional to 261,761,652.90, 361,230,992.89 and 144,288,944.90

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Solution

The fourth proportional to 261,761,652.90, 361,230,992.89 and 144,288,944.90 is: 199,118,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,761,652.90 : 361,230,992.89 = 144,288,944.90 : x
  2. Step 2: Convert to fraction form
    261,761,652.90/361,230,992.89 = 144,288,944.90/x
  3. Step 3: Cross multiply
    261,761,652.90x = 361,230,992.89 × 144,288,944.90
  4. Step 4: Simplify right side
    261,761,652.90x = 52,121,638,828,556,056
  5. Step 5: Solve for x
    x = 52,121,638,828,556,056/261,761,652.90
  6. Step 6: Final answer
    x = 199,118,695.39

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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.