Finding the Fourth Proportional to 4,107,422,456,861.30, 6,161,331,823,222 and 1,350,569,440,419.10
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Solution
The fourth proportional to 4,107,422,456,861.30, 6,161,331,823,222 and 1,350,569,440,419.10 is: 2,025,919,310,740.70
Step by Step Solution
- Step 1: Write the proportion equation
4,107,422,456,861.30 : 6,161,331,823,222 = 1,350,569,440,419.10 : x - Step 2: Convert to fraction form
4,107,422,456,861.30/6,161,331,823,222 = 1,350,569,440,419.10/x - Step 3: Cross multiply
4,107,422,456,861.30x = 6,161,331,823,222 × 1,350,569,440,419.10 - Step 4: Simplify right side
4,107,422,456,861.30x = 8,321,306,472,725,330,551,373,824 - Step 5: Solve for x
x = 8,321,306,472,725,330,551,373,824/4,107,422,456,861.30 - Step 6: Final answer
x = 2,025,919,310,740.70
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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.