Finding the Fourth Proportional to 11,456,732,311,097, 17,185,098,466,646 and 11,456,732,311,097
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Solution
The fourth proportional to 11,456,732,311,097, 17,185,098,466,646 and 11,456,732,311,097 is: 17,185,098,466,646
Step by Step Solution
- Step 1: Write the proportion equation
11,456,732,311,097 : 17,185,098,466,646 = 11,456,732,311,097 : x - Step 2: Convert to fraction form
11,456,732,311,097/17,185,098,466,646 = 11,456,732,311,097/x - Step 3: Cross multiply
11,456,732,311,097x = 17,185,098,466,646 × 11,456,732,311,097 - Step 4: Simplify right side
11,456,732,311,097x = 196,885,072,872,206,732,959,416,320 - Step 5: Solve for x
x = 196,885,072,872,206,732,959,416,320/11,456,732,311,097 - Step 6: Final answer
x = 17,185,098,466,646
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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.