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Finding the Fourth Proportional to 80,699,328,400.80, 121,048,992,601.20 and 80,699,328,400.80

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Solution

The fourth proportional to 80,699,328,400.80, 121,048,992,601.20 and 80,699,328,400.80 is: 121,048,992,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,699,328,400.80 : 121,048,992,601.20 = 80,699,328,400.80 : x
  2. Step 2: Convert to fraction form
    80,699,328,400.80/121,048,992,601.20 = 80,699,328,400.80/x
  3. Step 3: Cross multiply
    80,699,328,400.80x = 121,048,992,601.20 × 80,699,328,400.80
  4. Step 4: Simplify right side
    80,699,328,400.80x = 9,768,572,406,510,248,787,968
  5. Step 5: Solve for x
    x = 9,768,572,406,510,248,787,968/80,699,328,400.80
  6. Step 6: Final answer
    x = 121,048,992,601.20

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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.