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Finding the Fourth Proportional to 77,558,649.74, 116,336,978.10 and 25,767,067.08

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Solution

The fourth proportional to 77,558,649.74, 116,336,978.10 and 25,767,067.08 is: 38,650,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,558,649.74 : 116,336,978.10 = 25,767,067.08 : x
  2. Step 2: Convert to fraction form
    77,558,649.74/116,336,978.10 = 25,767,067.08/x
  3. Step 3: Cross multiply
    77,558,649.74x = 116,336,978.10 × 25,767,067.08
  4. Step 4: Simplify right side
    77,558,649.74x = 2,997,662,718,587,190.50
  5. Step 5: Solve for x
    x = 2,997,662,718,587,190.50/77,558,649.74
  6. Step 6: Final answer
    x = 38,650,269.56

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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.