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Finding the Fourth Proportional to 16,040,099,156,085, 24,060,148,734,128 and 16,040,099,156,085

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Solution

The fourth proportional to 16,040,099,156,085, 24,060,148,734,128 and 16,040,099,156,085 is: 24,060,148,734,128

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040,099,156,085 : 24,060,148,734,128 = 16,040,099,156,085 : x
  2. Step 2: Convert to fraction form
    16,040,099,156,085/24,060,148,734,128 = 16,040,099,156,085/x
  3. Step 3: Cross multiply
    16,040,099,156,085x = 24,060,148,734,128 × 16,040,099,156,085
  4. Step 4: Simplify right side
    16,040,099,156,085x = 385,927,171,405,566,129,232,412,672
  5. Step 5: Solve for x
    x = 385,927,171,405,566,129,232,412,672/16,040,099,156,085
  6. Step 6: Final answer
    x = 24,060,148,734,128

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.