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Finding the Fourth Proportional to 978,221,567.80, 1,469,032,962.90 and 519,056,543.80

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Solution

The fourth proportional to 978,221,567.80, 1,469,032,962.90 and 519,056,543.80 is: 779,487,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,221,567.80 : 1,469,032,962.90 = 519,056,543.80 : x
  2. Step 2: Convert to fraction form
    978,221,567.80/1,469,032,962.90 = 519,056,543.80/x
  3. Step 3: Cross multiply
    978,221,567.80x = 1,469,032,962.90 × 519,056,543.80
  4. Step 4: Simplify right side
    978,221,567.80x = 762,511,172,451,147,648
  5. Step 5: Solve for x
    x = 762,511,172,451,147,648/978,221,567.80
  6. Step 6: Final answer
    x = 779,487,181.18

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1.5x scale

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.