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Finding the Fourth Proportional to 295,245,704.60, 442,868,556.90 and 180,454,448.60

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Solution

The fourth proportional to 295,245,704.60, 442,868,556.90 and 180,454,448.60 is: 270,681,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,245,704.60 : 442,868,556.90 = 180,454,448.60 : x
  2. Step 2: Convert to fraction form
    295,245,704.60/442,868,556.90 = 180,454,448.60/x
  3. Step 3: Cross multiply
    295,245,704.60x = 442,868,556.90 × 180,454,448.60
  4. Step 4: Simplify right side
    295,245,704.60x = 79,917,601,237,667,216
  5. Step 5: Solve for x
    x = 79,917,601,237,667,216/295,245,704.60
  6. Step 6: Final answer
    x = 270,681,672.90

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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.