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Finding the Fourth Proportional to 978,221,592.80, 1,469,033,000.40 and 519,056,568.80

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Solution

The fourth proportional to 978,221,592.80, 1,469,033,000.40 and 519,056,568.80 is: 779,487,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,221,592.80 : 1,469,033,000.40 = 519,056,568.80 : x
  2. Step 2: Convert to fraction form
    978,221,592.80/1,469,033,000.40 = 519,056,568.80/x
  3. Step 3: Cross multiply
    978,221,592.80x = 1,469,033,000.40 × 519,056,568.80
  4. Step 4: Simplify right side
    978,221,592.80x = 762,511,228,641,593,088
  5. Step 5: Solve for x
    x = 762,511,228,641,593,088/978,221,592.80
  6. Step 6: Final answer
    x = 779,487,218.70

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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.