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Finding the Fourth Proportional to 651,723,972.20, 978,719,699.10 and 345,613,956.20

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Solution

The fourth proportional to 651,723,972.20, 978,719,699.10 and 345,613,956.20 is: 519,022,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,723,972.20 : 978,719,699.10 = 345,613,956.20 : x
  2. Step 2: Convert to fraction form
    651,723,972.20/978,719,699.10 = 345,613,956.20/x
  3. Step 3: Cross multiply
    651,723,972.20x = 978,719,699.10 × 345,613,956.20
  4. Step 4: Simplify right side
    651,723,972.20x = 338,259,187,216,824,576
  5. Step 5: Solve for x
    x = 338,259,187,216,824,576/651,723,972.20
  6. Step 6: Final answer
    x = 519,022,165.28

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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.