Finding the Fourth Proportional to 47,863,760,149, 71,797,102,867.16 and 16,420,968,353.44
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Solution
The fourth proportional to 47,863,760,149, 71,797,102,867.16 and 16,420,968,353.44 is: 24,631,954,329.96
Step by Step Solution
- Step 1: Write the proportion equation
47,863,760,149 : 71,797,102,867.16 = 16,420,968,353.44 : x - Step 2: Convert to fraction form
47,863,760,149/71,797,102,867.16 = 16,420,968,353.44/x - Step 3: Cross multiply
47,863,760,149x = 71,797,102,867.16 × 16,420,968,353.44 - Step 4: Simplify right side
47,863,760,149x = 1,178,977,954,050,310,799,360 - Step 5: Solve for x
x = 1,178,977,954,050,310,799,360/47,863,760,149 - Step 6: Final answer
x = 24,631,954,329.96
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1.5x scale
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.