Finding the Fourth Proportional to 3,310,027,307,441, 4,965,040,961,162 and 3,310,027,307,441
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Solution
The fourth proportional to 3,310,027,307,441, 4,965,040,961,162 and 3,310,027,307,441 is: 4,965,040,961,162
Step by Step Solution
- Step 1: Write the proportion equation
3,310,027,307,441 : 4,965,040,961,162 = 3,310,027,307,441 : x - Step 2: Convert to fraction form
3,310,027,307,441/4,965,040,961,162 = 3,310,027,307,441/x - Step 3: Cross multiply
3,310,027,307,441x = 4,965,040,961,162 × 3,310,027,307,441 - Step 4: Simplify right side
3,310,027,307,441x = 16,434,421,164,009,329,442,947,072 - Step 5: Solve for x
x = 16,434,421,164,009,329,442,947,072/3,310,027,307,441 - Step 6: Final answer
x = 4,965,040,961,162
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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.