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Finding the Fourth Proportional to 12,021,697,676.70, 16,795,978,211.70 and 12,021,697,676.70

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Solution

The fourth proportional to 12,021,697,676.70, 16,795,978,211.70 and 12,021,697,676.70 is: 16,795,978,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021,697,676.70 : 16,795,978,211.70 = 12,021,697,676.70 : x
  2. Step 2: Convert to fraction form
    12,021,697,676.70/16,795,978,211.70 = 12,021,697,676.70/x
  3. Step 3: Cross multiply
    12,021,697,676.70x = 16,795,978,211.70 × 12,021,697,676.70
  4. Step 4: Simplify right side
    12,021,697,676.70x = 201,916,172,245,497,741,312
  5. Step 5: Solve for x
    x = 201,916,172,245,497,741,312/12,021,697,676.70
  6. Step 6: Final answer
    x = 16,795,978,211.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.