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Finding the Fourth Proportional to 24,446,384,014.20, 36,669,576,021.30 and 24,446,384,014.20

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Solution

The fourth proportional to 24,446,384,014.20, 36,669,576,021.30 and 24,446,384,014.20 is: 36,669,576,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446,384,014.20 : 36,669,576,021.30 = 24,446,384,014.20 : x
  2. Step 2: Convert to fraction form
    24,446,384,014.20/36,669,576,021.30 = 24,446,384,014.20/x
  3. Step 3: Cross multiply
    24,446,384,014.20x = 36,669,576,021.30 × 24,446,384,014.20
  4. Step 4: Simplify right side
    24,446,384,014.20x = 896,438,537,054,600,036,352
  5. Step 5: Solve for x
    x = 896,438,537,054,600,036,352/24,446,384,014.20
  6. Step 6: Final answer
    x = 36,669,576,021.30

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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.