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Finding the Fourth Proportional to 277,750,959.60, 416,201,286.60 and 262,445,458.80

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Solution

The fourth proportional to 277,750,959.60, 416,201,286.60 and 262,445,458.80 is: 393,266,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,750,959.60 : 416,201,286.60 = 262,445,458.80 : x
  2. Step 2: Convert to fraction form
    277,750,959.60/416,201,286.60 = 262,445,458.80/x
  3. Step 3: Cross multiply
    277,750,959.60x = 416,201,286.60 × 262,445,458.80
  4. Step 4: Simplify right side
    277,750,959.60x = 109,230,137,614,887,296
  5. Step 5: Solve for x
    x = 109,230,137,614,887,296/277,750,959.60
  6. Step 6: Final answer
    x = 393,266,463.50

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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.