Finding the Fourth Proportional to 1,612,205,227,661.40, 2,418,316,882,052.20 and 537,758,198,796.49
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Solution
The fourth proportional to 1,612,205,227,661.40, 2,418,316,882,052.20 and 537,758,198,796.49 is: 806,640,313,713.62
Step by Step Solution
- Step 1: Write the proportion equation
1,612,205,227,661.40 : 2,418,316,882,052.20 = 537,758,198,796.49 : x - Step 2: Convert to fraction form
1,612,205,227,661.40/2,418,316,882,052.20 = 537,758,198,796.49/x - Step 3: Cross multiply
1,612,205,227,661.40x = 2,418,316,882,052.20 × 537,758,198,796.49 - Step 4: Simplify right side
1,612,205,227,661.40x = 1,300,469,730,611,534,946,631,680 - Step 5: Solve for x
x = 1,300,469,730,611,534,946,631,680/1,612,205,227,661.40 - Step 6: Final answer
x = 806,640,313,713.62
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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.