Finding the Fourth Proportional to 11,456,732,310,713, 17,185,098,466,070 and 11,456,732,310,713
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Solution
The fourth proportional to 11,456,732,310,713, 17,185,098,466,070 and 11,456,732,310,713 is: 17,185,098,466,070
Step by Step Solution
- Step 1: Write the proportion equation
11,456,732,310,713 : 17,185,098,466,070 = 11,456,732,310,713 : x - Step 2: Convert to fraction form
11,456,732,310,713/17,185,098,466,070 = 11,456,732,310,713/x - Step 3: Cross multiply
11,456,732,310,713x = 17,185,098,466,070 × 11,456,732,310,713 - Step 4: Simplify right side
11,456,732,310,713x = 196,885,072,859,008,573,336,715,264 - Step 5: Solve for x
x = 196,885,072,859,008,573,336,715,264/11,456,732,310,713 - Step 6: Final answer
x = 17,185,098,466,070
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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.