Finding the Fourth Proportional to 37,672,935,852,102, 51,998,324,474,576 and 24,536,661,583,194
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Solution
The fourth proportional to 37,672,935,852,102, 51,998,324,474,576 and 24,536,661,583,194 is: 33,866,893,080,343.70
Step by Step Solution
- Step 1: Write the proportion equation
37,672,935,852,102 : 51,998,324,474,576 = 24,536,661,583,194 : x - Step 2: Convert to fraction form
37,672,935,852,102/51,998,324,474,576 = 24,536,661,583,194/x - Step 3: Cross multiply
37,672,935,852,102x = 51,998,324,474,576 × 24,536,661,583,194 - Step 4: Simplify right side
37,672,935,852,102x = 1,275,865,290,525,785,250,481,569,792 - Step 5: Solve for x
x = 1,275,865,290,525,785,250,481,569,792/37,672,935,852,102 - Step 6: Final answer
x = 33,866,893,080,343.70
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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.