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Finding the Fourth Proportional to 978,784,164.10, 1,468,176,246.15 and 687,979,648.90

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Solution

The fourth proportional to 978,784,164.10, 1,468,176,246.15 and 687,979,648.90 is: 1,031,969,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,784,164.10 : 1,468,176,246.15 = 687,979,648.90 : x
  2. Step 2: Convert to fraction form
    978,784,164.10/1,468,176,246.15 = 687,979,648.90/x
  3. Step 3: Cross multiply
    978,784,164.10x = 1,468,176,246.15 × 687,979,648.90
  4. Step 4: Simplify right side
    978,784,164.10x = 1,010,075,378,349,597,056
  5. Step 5: Solve for x
    x = 1,010,075,378,349,597,056/978,784,164.10
  6. Step 6: Final answer
    x = 1,031,969,473.35

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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.