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Finding the Fourth Proportional to 5,200,380.80, 7,786,574.40 and 5,200,380.80

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Solution

The fourth proportional to 5,200,380.80, 7,786,574.40 and 5,200,380.80 is: 7,786,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,380.80 : 7,786,574.40 = 5,200,380.80 : x
  2. Step 2: Convert to fraction form
    5,200,380.80/7,786,574.40 = 5,200,380.80/x
  3. Step 3: Cross multiply
    5,200,380.80x = 7,786,574.40 × 5,200,380.80
  4. Step 4: Simplify right side
    5,200,380.80x = 40,493,152,007,531.52
  5. Step 5: Solve for x
    x = 40,493,152,007,531.52/5,200,380.80
  6. Step 6: Final answer
    x = 7,786,574.40

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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.