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Finding the Fourth Proportional to 16,590,467,000,296, 24,885,700,500,444 and 16,590,467,000,296

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Solution

The fourth proportional to 16,590,467,000,296, 24,885,700,500,444 and 16,590,467,000,296 is: 24,885,700,500,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590,467,000,296 : 24,885,700,500,444 = 16,590,467,000,296 : x
  2. Step 2: Convert to fraction form
    16,590,467,000,296/24,885,700,500,444 = 16,590,467,000,296/x
  3. Step 3: Cross multiply
    16,590,467,000,296x = 24,885,700,500,444 × 16,590,467,000,296
  4. Step 4: Simplify right side
    16,590,467,000,296x = 412,865,392,931,865,805,719,601,152
  5. Step 5: Solve for x
    x = 412,865,392,931,865,805,719,601,152/16,590,467,000,296
  6. Step 6: Final answer
    x = 24,885,700,500,444

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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.