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Finding the Fourth Proportional to 5,410,366,148.80, 8,102,635,206.90 and 5,410,366,148.80

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Solution

The fourth proportional to 5,410,366,148.80, 8,102,635,206.90 and 5,410,366,148.80 is: 8,102,635,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,366,148.80 : 8,102,635,206.90 = 5,410,366,148.80 : x
  2. Step 2: Convert to fraction form
    5,410,366,148.80/8,102,635,206.90 = 5,410,366,148.80/x
  3. Step 3: Cross multiply
    5,410,366,148.80x = 8,102,635,206.90 × 5,410,366,148.80
  4. Step 4: Simplify right side
    5,410,366,148.80x = 43,838,223,239,486,840,832
  5. Step 5: Solve for x
    x = 43,838,223,239,486,840,832/5,410,366,148.80
  6. Step 6: Final answer
    x = 8,102,635,206.90

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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.