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Finding the Fourth Proportional to 1,794,457,447.80, 2,694,457,538.10 and 978,164,071.80

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Solution

The fourth proportional to 1,794,457,447.80, 2,694,457,538.10 and 978,164,071.80 is: 1,468,756,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,457,447.80 : 2,694,457,538.10 = 978,164,071.80 : x
  2. Step 2: Convert to fraction form
    1,794,457,447.80/2,694,457,538.10 = 978,164,071.80/x
  3. Step 3: Cross multiply
    1,794,457,447.80x = 2,694,457,538.10 × 978,164,071.80
  4. Step 4: Simplify right side
    1,794,457,447.80x = 2,635,621,556,760,099,328
  5. Step 5: Solve for x
    x = 2,635,621,556,760,099,328/1,794,457,447.80
  6. Step 6: Final answer
    x = 1,468,756,787.74

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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.