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Finding the Fourth Proportional to 1,409,148,235.20, 2,113,722,352.80 and 1,409,148,235.20

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Solution

The fourth proportional to 1,409,148,235.20, 2,113,722,352.80 and 1,409,148,235.20 is: 2,113,722,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,148,235.20 : 2,113,722,352.80 = 1,409,148,235.20 : x
  2. Step 2: Convert to fraction form
    1,409,148,235.20/2,113,722,352.80 = 1,409,148,235.20/x
  3. Step 3: Cross multiply
    1,409,148,235.20x = 2,113,722,352.80 × 1,409,148,235.20
  4. Step 4: Simplify right side
    1,409,148,235.20x = 2,978,548,123,150,912,000
  5. Step 5: Solve for x
    x = 2,978,548,123,150,912,000/1,409,148,235.20
  6. Step 6: Final answer
    x = 2,113,722,352.80

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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.