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Finding the Fourth Proportional to 629,367,611.60, 943,043,647.80 and 413,704,917.20

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Solution

The fourth proportional to 629,367,611.60, 943,043,647.80 and 413,704,917.20 is: 619,894,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,367,611.60 : 943,043,647.80 = 413,704,917.20 : x
  2. Step 2: Convert to fraction form
    629,367,611.60/943,043,647.80 = 413,704,917.20/x
  3. Step 3: Cross multiply
    629,367,611.60x = 943,043,647.80 × 413,704,917.20
  4. Step 4: Simplify right side
    629,367,611.60x = 390,141,794,229,084,928
  5. Step 5: Solve for x
    x = 390,141,794,229,084,928/629,367,611.60
  6. Step 6: Final answer
    x = 619,894,934.28

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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.