Finding the Fourth Proportional to 11,310,954,048,029, 16,966,431,072,042 and 11,310,954,048,029
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Solution
The fourth proportional to 11,310,954,048,029, 16,966,431,072,042 and 11,310,954,048,029 is: 16,966,431,072,042
Step by Step Solution
- Step 1: Write the proportion equation
11,310,954,048,029 : 16,966,431,072,042 = 11,310,954,048,029 : x - Step 2: Convert to fraction form
11,310,954,048,029/16,966,431,072,042 = 11,310,954,048,029/x - Step 3: Cross multiply
11,310,954,048,029x = 16,966,431,072,042 × 11,310,954,048,029 - Step 4: Simplify right side
11,310,954,048,029x = 191,906,522,214,918,461,289,660,416 - Step 5: Solve for x
x = 191,906,522,214,918,461,289,660,416/11,310,954,048,029 - Step 6: Final answer
x = 16,966,431,072,042
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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.