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Finding the Fourth Proportional to 3,477,765.20, 5,216,647.80 and 3,477,765.20

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Solution

The fourth proportional to 3,477,765.20, 5,216,647.80 and 3,477,765.20 is: 5,216,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477,765.20 : 5,216,647.80 = 3,477,765.20 : x
  2. Step 2: Convert to fraction form
    3,477,765.20/5,216,647.80 = 3,477,765.20/x
  3. Step 3: Cross multiply
    3,477,765.20x = 5,216,647.80 × 3,477,765.20
  4. Step 4: Simplify right side
    3,477,765.20x = 18,142,276,179,496.56
  5. Step 5: Solve for x
    x = 18,142,276,179,496.56/3,477,765.20
  6. Step 6: Final answer
    x = 5,216,647.80

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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.