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Finding the Fourth Proportional to 1,789,684,912.16, 2,469,841,726.19 and 996,730,764.13

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Solution

The fourth proportional to 1,789,684,912.16, 2,469,841,726.19 and 996,730,764.13 is: 1,375,531,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789,684,912.16 : 2,469,841,726.19 = 996,730,764.13 : x
  2. Step 2: Convert to fraction form
    1,789,684,912.16/2,469,841,726.19 = 996,730,764.13/x
  3. Step 3: Cross multiply
    1,789,684,912.16x = 2,469,841,726.19 × 996,730,764.13
  4. Step 4: Simplify right side
    1,789,684,912.16x = 2,461,767,231,012,555,776
  5. Step 5: Solve for x
    x = 2,461,767,231,012,555,776/1,789,684,912.16
  6. Step 6: Final answer
    x = 1,375,531,086.11

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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.