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Finding the Fourth Proportional to 9,198,566,813.70, 13,797,850,220.55 and 9,198,566,813.70

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Solution

The fourth proportional to 9,198,566,813.70, 13,797,850,220.55 and 9,198,566,813.70 is: 13,797,850,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,566,813.70 : 13,797,850,220.55 = 9,198,566,813.70 : x
  2. Step 2: Convert to fraction form
    9,198,566,813.70/13,797,850,220.55 = 9,198,566,813.70/x
  3. Step 3: Cross multiply
    9,198,566,813.70x = 13,797,850,220.55 × 9,198,566,813.70
  4. Step 4: Simplify right side
    9,198,566,813.70x = 126,920,447,139,154,460,672
  5. Step 5: Solve for x
    x = 126,920,447,139,154,460,672/9,198,566,813.70
  6. Step 6: Final answer
    x = 13,797,850,220.55

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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.