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Finding the Fourth Proportional to 260,802,481.80, 391,203,722.70 and 256,976,106.60

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Solution

The fourth proportional to 260,802,481.80, 391,203,722.70 and 256,976,106.60 is: 385,464,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,802,481.80 : 391,203,722.70 = 256,976,106.60 : x
  2. Step 2: Convert to fraction form
    260,802,481.80/391,203,722.70 = 256,976,106.60/x
  3. Step 3: Cross multiply
    260,802,481.80x = 391,203,722.70 × 256,976,106.60
  4. Step 4: Simplify right side
    260,802,481.80x = 100,530,009,546,872,032
  5. Step 5: Solve for x
    x = 100,530,009,546,872,032/260,802,481.80
  6. Step 6: Final answer
    x = 385,464,159.90

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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.