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Finding the Fourth Proportional to 471,640,782.80, 707,461,174.20 and 471,640,782.80

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Solution

The fourth proportional to 471,640,782.80, 707,461,174.20 and 471,640,782.80 is: 707,461,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,640,782.80 : 707,461,174.20 = 471,640,782.80 : x
  2. Step 2: Convert to fraction form
    471,640,782.80/707,461,174.20 = 471,640,782.80/x
  3. Step 3: Cross multiply
    471,640,782.80x = 707,461,174.20 × 471,640,782.80
  4. Step 4: Simplify right side
    471,640,782.80x = 333,667,542,000,295,168
  5. Step 5: Solve for x
    x = 333,667,542,000,295,168/471,640,782.80
  6. Step 6: Final answer
    x = 707,461,174.20

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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.