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Finding the Fourth Proportional to 5,200,459.30, 7,786,692.15 and 5,200,459.30

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Solution

The fourth proportional to 5,200,459.30, 7,786,692.15 and 5,200,459.30 is: 7,786,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,459.30 : 7,786,692.15 = 5,200,459.30 : x
  2. Step 2: Convert to fraction form
    5,200,459.30/7,786,692.15 = 5,200,459.30/x
  3. Step 3: Cross multiply
    5,200,459.30x = 7,786,692.15 × 5,200,459.30
  4. Step 4: Simplify right side
    5,200,459.30x = 40,494,375,607,704.49
  5. Step 5: Solve for x
    x = 40,494,375,607,704.49/5,200,459.30
  6. Step 6: Final answer
    x = 7,786,692.15

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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.