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Finding the Fourth Proportional to 978,658,532.20, 1,467,987,798.30 and 396,671,588.20

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Solution

The fourth proportional to 978,658,532.20, 1,467,987,798.30 and 396,671,588.20 is: 595,007,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,658,532.20 : 1,467,987,798.30 = 396,671,588.20 : x
  2. Step 2: Convert to fraction form
    978,658,532.20/1,467,987,798.30 = 396,671,588.20/x
  3. Step 3: Cross multiply
    978,658,532.20x = 1,467,987,798.30 × 396,671,588.20
  4. Step 4: Simplify right side
    978,658,532.20x = 582,309,051,409,882,240
  5. Step 5: Solve for x
    x = 582,309,051,409,882,240/978,658,532.20
  6. Step 6: Final answer
    x = 595,007,382.30

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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.