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Finding the Fourth Proportional to 382,952,508,900.30, 574,428,763,350.45 and 382,952,508,900.30

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Solution

The fourth proportional to 382,952,508,900.30, 574,428,763,350.45 and 382,952,508,900.30 is: 574,428,763,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,952,508,900.30 : 574,428,763,350.45 = 382,952,508,900.30 : x
  2. Step 2: Convert to fraction form
    382,952,508,900.30/574,428,763,350.45 = 382,952,508,900.30/x
  3. Step 3: Cross multiply
    382,952,508,900.30x = 574,428,763,350.45 × 382,952,508,900.30
  4. Step 4: Simplify right side
    382,952,508,900.30x = 219,978,936,109,551,484,665,856
  5. Step 5: Solve for x
    x = 219,978,936,109,551,484,665,856/382,952,508,900.30
  6. Step 6: Final answer
    x = 574,428,763,350.45

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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.