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Finding the Fourth Proportional to 16,782,350,494.80, 25,125,152,801.40 and 16,782,350,494.80

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Solution

The fourth proportional to 16,782,350,494.80, 25,125,152,801.40 and 16,782,350,494.80 is: 25,125,152,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782,350,494.80 : 25,125,152,801.40 = 16,782,350,494.80 : x
  2. Step 2: Convert to fraction form
    16,782,350,494.80/25,125,152,801.40 = 16,782,350,494.80/x
  3. Step 3: Cross multiply
    16,782,350,494.80x = 25,125,152,801.40 × 16,782,350,494.80
  4. Step 4: Simplify right side
    16,782,350,494.80x = 421,659,120,548,500,930,560
  5. Step 5: Solve for x
    x = 421,659,120,548,500,930,560/16,782,350,494.80
  6. Step 6: Final answer
    x = 25,125,152,801.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.