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Finding the Fourth Proportional to 9,289,145,999.80, 13,933,718,999.70 and 9,289,145,999.80

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Solution

The fourth proportional to 9,289,145,999.80, 13,933,718,999.70 and 9,289,145,999.80 is: 13,933,718,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289,145,999.80 : 13,933,718,999.70 = 9,289,145,999.80 : x
  2. Step 2: Convert to fraction form
    9,289,145,999.80/13,933,718,999.70 = 9,289,145,999.80/x
  3. Step 3: Cross multiply
    9,289,145,999.80x = 13,933,718,999.70 × 9,289,145,999.80
  4. Step 4: Simplify right side
    9,289,145,999.80x = 129,432,350,108,400,500,736
  5. Step 5: Solve for x
    x = 129,432,350,108,400,500,736/9,289,145,999.80
  6. Step 6: Final answer
    x = 13,933,718,999.70

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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.