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Finding the Fourth Proportional to 467,601,523.20, 656,075,404.80 and 467,601,523.20

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Solution

The fourth proportional to 467,601,523.20, 656,075,404.80 and 467,601,523.20 is: 656,075,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,601,523.20 : 656,075,404.80 = 467,601,523.20 : x
  2. Step 2: Convert to fraction form
    467,601,523.20/656,075,404.80 = 467,601,523.20/x
  3. Step 3: Cross multiply
    467,601,523.20x = 656,075,404.80 × 467,601,523.20
  4. Step 4: Simplify right side
    467,601,523.20x = 306,781,858,618,536,576
  5. Step 5: Solve for x
    x = 306,781,858,618,536,576/467,601,523.20
  6. Step 6: Final answer
    x = 656,075,404.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.