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Finding the Fourth Proportional to 978,784,163.60, 1,468,176,245.40 and 687,979,648.40

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Solution

The fourth proportional to 978,784,163.60, 1,468,176,245.40 and 687,979,648.40 is: 1,031,969,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,784,163.60 : 1,468,176,245.40 = 687,979,648.40 : x
  2. Step 2: Convert to fraction form
    978,784,163.60/1,468,176,245.40 = 687,979,648.40/x
  3. Step 3: Cross multiply
    978,784,163.60x = 1,468,176,245.40 × 687,979,648.40
  4. Step 4: Simplify right side
    978,784,163.60x = 1,010,075,377,099,524,096
  5. Step 5: Solve for x
    x = 1,010,075,377,099,524,096/978,784,163.60
  6. Step 6: Final answer
    x = 1,031,969,472.60

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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.