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Finding the Fourth Proportional to 12,784,876,137,071, 19,177,314,205,606 and 12,784,876,137,071

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Solution

The fourth proportional to 12,784,876,137,071, 19,177,314,205,606 and 12,784,876,137,071 is: 19,177,314,205,606

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784,876,137,071 : 19,177,314,205,606 = 12,784,876,137,071 : x
  2. Step 2: Convert to fraction form
    12,784,876,137,071/19,177,314,205,606 = 12,784,876,137,071/x
  3. Step 3: Cross multiply
    12,784,876,137,071x = 19,177,314,205,606 × 12,784,876,137,071
  4. Step 4: Simplify right side
    12,784,876,137,071x = 245,179,586,760,364,848,494,673,920
  5. Step 5: Solve for x
    x = 245,179,586,760,364,848,494,673,920/12,784,876,137,071
  6. Step 6: Final answer
    x = 19,177,314,205,606

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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.