Finding the Fourth Proportional to 11,310,954,048,009, 16,966,431,072,013 and 11,310,954,048,009
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Solution
The fourth proportional to 11,310,954,048,009, 16,966,431,072,013 and 11,310,954,048,009 is: 16,966,431,072,013
Step by Step Solution
- Step 1: Write the proportion equation
11,310,954,048,009 : 16,966,431,072,013 = 11,310,954,048,009 : x - Step 2: Convert to fraction form
11,310,954,048,009/16,966,431,072,013 = 11,310,954,048,009/x - Step 3: Cross multiply
11,310,954,048,009x = 16,966,431,072,013 × 11,310,954,048,009 - Step 4: Simplify right side
11,310,954,048,009x = 191,906,522,214,251,126,451,077,120 - Step 5: Solve for x
x = 191,906,522,214,251,126,451,077,120/11,310,954,048,009 - Step 6: Final answer
x = 16,966,431,072,013
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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.