Finding the Fourth Proportional to 11,310,954,048,080, 16,966,431,072,120 and 11,310,954,048,080
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Solution
The fourth proportional to 11,310,954,048,080, 16,966,431,072,120 and 11,310,954,048,080 is: 16,966,431,072,120
Step by Step Solution
- Step 1: Write the proportion equation
11,310,954,048,080 : 16,966,431,072,120 = 11,310,954,048,080 : x - Step 2: Convert to fraction form
11,310,954,048,080/16,966,431,072,120 = 11,310,954,048,080/x - Step 3: Cross multiply
11,310,954,048,080x = 16,966,431,072,120 × 11,310,954,048,080 - Step 4: Simplify right side
11,310,954,048,080x = 191,906,522,216,665,997,583,056,896 - Step 5: Solve for x
x = 191,906,522,216,665,997,583,056,896/11,310,954,048,080 - Step 6: Final answer
x = 16,966,431,072,120
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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.