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Finding the Fourth Proportional to 1,220,141,217.17, 1,683,978,935.73 and 744,107,757.68

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Solution

The fourth proportional to 1,220,141,217.17, 1,683,978,935.73 and 744,107,757.68 is: 1,026,980,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,141,217.17 : 1,683,978,935.73 = 744,107,757.68 : x
  2. Step 2: Convert to fraction form
    1,220,141,217.17/1,683,978,935.73 = 744,107,757.68/x
  3. Step 3: Cross multiply
    1,220,141,217.17x = 1,683,978,935.73 × 744,107,757.68
  4. Step 4: Simplify right side
    1,220,141,217.17x = 1,253,061,789,846,403,072
  5. Step 5: Solve for x
    x = 1,253,061,789,846,403,072/1,220,141,217.17
  6. Step 6: Final answer
    x = 1,026,980,952.87

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.