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Finding the Fourth Proportional to 453,832,664.85, 680,748,997.28 and 453,832,664.85

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Solution

The fourth proportional to 453,832,664.85, 680,748,997.28 and 453,832,664.85 is: 680,748,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,832,664.85 : 680,748,997.28 = 453,832,664.85 : x
  2. Step 2: Convert to fraction form
    453,832,664.85/680,748,997.28 = 453,832,664.85/x
  3. Step 3: Cross multiply
    453,832,664.85x = 680,748,997.28 × 453,832,664.85
  4. Step 4: Simplify right side
    453,832,664.85x = 308,946,131,527,278,656
  5. Step 5: Solve for x
    x = 308,946,131,527,278,656/453,832,664.85
  6. Step 6: Final answer
    x = 680,748,997.28

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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.