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Finding the Fourth Proportional to 5,205,772.80, 7,808,659.20 and 5,205,772.80

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Solution

The fourth proportional to 5,205,772.80, 7,808,659.20 and 5,205,772.80 is: 7,808,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205,772.80 : 7,808,659.20 = 5,205,772.80 : x
  2. Step 2: Convert to fraction form
    5,205,772.80/7,808,659.20 = 5,205,772.80/x
  3. Step 3: Cross multiply
    5,205,772.80x = 7,808,659.20 × 5,205,772.80
  4. Step 4: Simplify right side
    5,205,772.80x = 40,650,105,667,829.76
  5. Step 5: Solve for x
    x = 40,650,105,667,829.76/5,205,772.80
  6. Step 6: Final answer
    x = 7,808,659.20

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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.