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Finding the Fourth Proportional to 1,680,491,053.80, 2,356,131,213 and 1,680,491,053.80

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Solution

The fourth proportional to 1,680,491,053.80, 2,356,131,213 and 1,680,491,053.80 is: 2,356,131,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,491,053.80 : 2,356,131,213 = 1,680,491,053.80 : x
  2. Step 2: Convert to fraction form
    1,680,491,053.80/2,356,131,213 = 1,680,491,053.80/x
  3. Step 3: Cross multiply
    1,680,491,053.80x = 2,356,131,213 × 1,680,491,053.80
  4. Step 4: Simplify right side
    1,680,491,053.80x = 3,959,457,425,025,442,304
  5. Step 5: Solve for x
    x = 3,959,457,425,025,442,304/1,680,491,053.80
  6. Step 6: Final answer
    x = 2,356,131,213

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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.