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Finding the Fourth Proportional to 5,217,282.60, 7,825,923.90 and 5,217,282.60

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Solution

The fourth proportional to 5,217,282.60, 7,825,923.90 and 5,217,282.60 is: 7,825,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217,282.60 : 7,825,923.90 = 5,217,282.60 : x
  2. Step 2: Convert to fraction form
    5,217,282.60/7,825,923.90 = 5,217,282.60/x
  3. Step 3: Cross multiply
    5,217,282.60x = 7,825,923.90 × 5,217,282.60
  4. Step 4: Simplify right side
    5,217,282.60x = 40,830,056,592,394.14
  5. Step 5: Solve for x
    x = 40,830,056,592,394.14/5,217,282.60
  6. Step 6: Final answer
    x = 7,825,923.90

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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.