Finding the Fourth Proportional to 13,145,844,475,982, 18,133,728,239,719 and 8,198,877,677,344
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Solution
The fourth proportional to 13,145,844,475,982, 18,133,728,239,719 and 8,198,877,677,344 is: 11,309,750,388,671.66
Step by Step Solution
- Step 1: Write the proportion equation
13,145,844,475,982 : 18,133,728,239,719 = 8,198,877,677,344 : x - Step 2: Convert to fraction form
13,145,844,475,982/18,133,728,239,719 = 8,198,877,677,344/x - Step 3: Cross multiply
13,145,844,475,982x = 18,133,728,239,719 × 8,198,877,677,344 - Step 4: Simplify right side
13,145,844,475,982x = 148,676,219,671,654,608,693,886,976 - Step 5: Solve for x
x = 148,676,219,671,654,608,693,886,976/13,145,844,475,982 - Step 6: Final answer
x = 11,309,750,388,671.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.