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Finding the Fourth Proportional to 275,461,906.40, 413,192,859.60 and 275,461,906.40

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Solution

The fourth proportional to 275,461,906.40, 413,192,859.60 and 275,461,906.40 is: 413,192,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,461,906.40 : 413,192,859.60 = 275,461,906.40 : x
  2. Step 2: Convert to fraction form
    275,461,906.40/413,192,859.60 = 275,461,906.40/x
  3. Step 3: Cross multiply
    275,461,906.40x = 413,192,859.60 × 275,461,906.40
  4. Step 4: Simplify right side
    275,461,906.40x = 113,818,892,816,283,536
  5. Step 5: Solve for x
    x = 113,818,892,816,283,536/275,461,906.40
  6. Step 6: Final answer
    x = 413,192,859.60

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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.