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Finding the Fourth Proportional to 29,682,496,998.45, 44,523,745,497.68 and 29,682,496,998.45

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Solution

The fourth proportional to 29,682,496,998.45, 44,523,745,497.68 and 29,682,496,998.45 is: 44,523,745,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682,496,998.45 : 44,523,745,497.68 = 29,682,496,998.45 : x
  2. Step 2: Convert to fraction form
    29,682,496,998.45/44,523,745,497.68 = 29,682,496,998.45/x
  3. Step 3: Cross multiply
    29,682,496,998.45x = 44,523,745,497.68 × 29,682,496,998.45
  4. Step 4: Simplify right side
    29,682,496,998.45x = 1,321,575,942,094,489,911,296
  5. Step 5: Solve for x
    x = 1,321,575,942,094,489,911,296/29,682,496,998.45
  6. Step 6: Final answer
    x = 44,523,745,497.68

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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.