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Finding the Fourth Proportional to 36,794,271,007.80, 55,191,406,511.70 and 36,794,271,007.80

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Solution

The fourth proportional to 36,794,271,007.80, 55,191,406,511.70 and 36,794,271,007.80 is: 55,191,406,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,794,271,007.80 : 55,191,406,511.70 = 36,794,271,007.80 : x
  2. Step 2: Convert to fraction form
    36,794,271,007.80/55,191,406,511.70 = 36,794,271,007.80/x
  3. Step 3: Cross multiply
    36,794,271,007.80x = 55,191,406,511.70 × 36,794,271,007.80
  4. Step 4: Simplify right side
    36,794,271,007.80x = 2,030,727,568,493,147,586,560
  5. Step 5: Solve for x
    x = 2,030,727,568,493,147,586,560/36,794,271,007.80
  6. Step 6: Final answer
    x = 55,191,406,511.70

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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.