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Finding the Fourth Proportional to 441,419,907.60, 662,129,861.40 and 441,419,907.60

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Solution

The fourth proportional to 441,419,907.60, 662,129,861.40 and 441,419,907.60 is: 662,129,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,419,907.60 : 662,129,861.40 = 441,419,907.60 : x
  2. Step 2: Convert to fraction form
    441,419,907.60/662,129,861.40 = 441,419,907.60/x
  3. Step 3: Cross multiply
    441,419,907.60x = 662,129,861.40 × 441,419,907.60
  4. Step 4: Simplify right side
    441,419,907.60x = 292,277,302,238,388,800
  5. Step 5: Solve for x
    x = 292,277,302,238,388,800/441,419,907.60
  6. Step 6: Final answer
    x = 662,129,861.40

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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.