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Finding the Fourth Proportional to 978,187,121.80, 1,467,280,682.70 and 978,187,121.80

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Solution

The fourth proportional to 978,187,121.80, 1,467,280,682.70 and 978,187,121.80 is: 1,467,280,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,187,121.80 : 1,467,280,682.70 = 978,187,121.80 : x
  2. Step 2: Convert to fraction form
    978,187,121.80/1,467,280,682.70 = 978,187,121.80/x
  3. Step 3: Cross multiply
    978,187,121.80x = 1,467,280,682.70 × 978,187,121.80
  4. Step 4: Simplify right side
    978,187,121.80x = 1,435,275,067,883,052,032
  5. Step 5: Solve for x
    x = 1,435,275,067,883,052,032/978,187,121.80
  6. Step 6: Final answer
    x = 1,467,280,682.70

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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.