Finding the Fourth Proportional to 413,391,163,163.40, 620,086,744,745.10 and 413,391,163,163.40
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Solution
The fourth proportional to 413,391,163,163.40, 620,086,744,745.10 and 413,391,163,163.40 is: 620,086,744,745.10
Step by Step Solution
- Step 1: Write the proportion equation
413,391,163,163.40 : 620,086,744,745.10 = 413,391,163,163.40 : x - Step 2: Convert to fraction form
413,391,163,163.40/620,086,744,745.10 = 413,391,163,163.40/x - Step 3: Cross multiply
413,391,163,163.40x = 620,086,744,745.10 × 413,391,163,163.40 - Step 4: Simplify right side
413,391,163,163.40x = 256,338,380,672,383,192,137,728 - Step 5: Solve for x
x = 256,338,380,672,383,192,137,728/413,391,163,163.40 - Step 6: Final answer
x = 620,086,744,745.10
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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.