Finding the Fourth Proportional to 3,413,546,524,872.80, 5,120,620,797,232.20 and 963,086,208,826.10
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Solution
The fourth proportional to 3,413,546,524,872.80, 5,120,620,797,232.20 and 963,086,208,826.10 is: 1,444,714,239,137.61
Step by Step Solution
- Step 1: Write the proportion equation
3,413,546,524,872.80 : 5,120,620,797,232.20 = 963,086,208,826.10 : x - Step 2: Convert to fraction form
3,413,546,524,872.80/5,120,620,797,232.20 = 963,086,208,826.10/x - Step 3: Cross multiply
3,413,546,524,872.80x = 5,120,620,797,232.20 × 963,086,208,826.10 - Step 4: Simplify right side
3,413,546,524,872.80x = 4,931,599,270,442,441,354,772,480 - Step 5: Solve for x
x = 4,931,599,270,442,441,354,772,480/3,413,546,524,872.80 - Step 6: Final answer
x = 1,444,714,239,137.61
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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.