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Finding the Fourth Proportional to 275,440,438.40, 413,160,657.60 and 275,440,438.40

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Solution

The fourth proportional to 275,440,438.40, 413,160,657.60 and 275,440,438.40 is: 413,160,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,440,438.40 : 413,160,657.60 = 275,440,438.40 : x
  2. Step 2: Convert to fraction form
    275,440,438.40/413,160,657.60 = 275,440,438.40/x
  3. Step 3: Cross multiply
    275,440,438.40x = 413,160,657.60 × 275,440,438.40
  4. Step 4: Simplify right side
    275,440,438.40x = 113,801,152,658,976,288
  5. Step 5: Solve for x
    x = 113,801,152,658,976,288/275,440,438.40
  6. Step 6: Final answer
    x = 413,160,657.60

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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.