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Finding the Fourth Proportional to 275,647,777.65, 413,471,666.48 and 275,647,777.65

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Solution

The fourth proportional to 275,647,777.65, 413,471,666.48 and 275,647,777.65 is: 413,471,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,647,777.65 : 413,471,666.48 = 275,647,777.65 : x
  2. Step 2: Convert to fraction form
    275,647,777.65/413,471,666.48 = 275,647,777.65/x
  3. Step 3: Cross multiply
    275,647,777.65x = 413,471,666.48 × 275,647,777.65
  4. Step 4: Simplify right side
    275,647,777.65x = 113,972,545,985,075,760
  5. Step 5: Solve for x
    x = 113,972,545,985,075,760/275,647,777.65
  6. Step 6: Final answer
    x = 413,471,666.48

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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.