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Finding the Fourth Proportional to 20,220,192,000.30, 30,289,473,331.65 and 20,220,192,000.30

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Solution

The fourth proportional to 20,220,192,000.30, 30,289,473,331.65 and 20,220,192,000.30 is: 30,289,473,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220,192,000.30 : 30,289,473,331.65 = 20,220,192,000.30 : x
  2. Step 2: Convert to fraction form
    20,220,192,000.30/30,289,473,331.65 = 20,220,192,000.30/x
  3. Step 3: Cross multiply
    20,220,192,000.30x = 30,289,473,331.65 × 20,220,192,000.30
  4. Step 4: Simplify right side
    20,220,192,000.30x = 612,458,966,353,929,568,256
  5. Step 5: Solve for x
    x = 612,458,966,353,929,568,256/20,220,192,000.30
  6. Step 6: Final answer
    x = 30,289,473,331.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.