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Finding the Fourth Proportional to 120,986,010,000.45, 181,479,015,000.67 and 120,986,010,000.45

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Solution

The fourth proportional to 120,986,010,000.45, 181,479,015,000.67 and 120,986,010,000.45 is: 181,479,015,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,986,010,000.45 : 181,479,015,000.67 = 120,986,010,000.45 : x
  2. Step 2: Convert to fraction form
    120,986,010,000.45/181,479,015,000.67 = 120,986,010,000.45/x
  3. Step 3: Cross multiply
    120,986,010,000.45x = 181,479,015,000.67 × 120,986,010,000.45
  4. Step 4: Simplify right side
    120,986,010,000.45x = 21,956,421,923,742,876,172,288
  5. Step 5: Solve for x
    x = 21,956,421,923,742,876,172,288/120,986,010,000.45
  6. Step 6: Final answer
    x = 181,479,015,000.67

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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.