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Finding the Fourth Proportional to 86,733,504,013.80, 129,855,368,007.90 and 86,733,504,013.80

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Solution

The fourth proportional to 86,733,504,013.80, 129,855,368,007.90 and 86,733,504,013.80 is: 129,855,368,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,733,504,013.80 : 129,855,368,007.90 = 86,733,504,013.80 : x
  2. Step 2: Convert to fraction form
    86,733,504,013.80/129,855,368,007.90 = 86,733,504,013.80/x
  3. Step 3: Cross multiply
    86,733,504,013.80x = 129,855,368,007.90 × 86,733,504,013.80
  4. Step 4: Simplify right side
    86,733,504,013.80x = 11,262,811,082,326,670,311,424
  5. Step 5: Solve for x
    x = 11,262,811,082,326,670,311,424/86,733,504,013.80
  6. Step 6: Final answer
    x = 129,855,368,007.90

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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.