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Finding the Fourth Proportional to 16,144,467,384.90, 24,216,701,077.35 and 16,144,467,384.90

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Solution

The fourth proportional to 16,144,467,384.90, 24,216,701,077.35 and 16,144,467,384.90 is: 24,216,701,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144,467,384.90 : 24,216,701,077.35 = 16,144,467,384.90 : x
  2. Step 2: Convert to fraction form
    16,144,467,384.90/24,216,701,077.35 = 16,144,467,384.90/x
  3. Step 3: Cross multiply
    16,144,467,384.90x = 24,216,701,077.35 × 16,144,467,384.90
  4. Step 4: Simplify right side
    16,144,467,384.90x = 390,965,740,713,149,726,720
  5. Step 5: Solve for x
    x = 390,965,740,713,149,726,720/16,144,467,384.90
  6. Step 6: Final answer
    x = 24,216,701,077.35

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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.