Finding the Fourth Proportional to 215,410,843,163.70, 323,116,264,745.55 and 215,410,843,163.70
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Solution
The fourth proportional to 215,410,843,163.70, 323,116,264,745.55 and 215,410,843,163.70 is: 323,116,264,745.55
Step by Step Solution
- Step 1: Write the proportion equation
215,410,843,163.70 : 323,116,264,745.55 = 215,410,843,163.70 : x - Step 2: Convert to fraction form
215,410,843,163.70/323,116,264,745.55 = 215,410,843,163.70/x - Step 3: Cross multiply
215,410,843,163.70x = 323,116,264,745.55 × 215,410,843,163.70 - Step 4: Simplify right side
215,410,843,163.70x = 69,602,747,028,744,236,433,408 - Step 5: Solve for x
x = 69,602,747,028,744,236,433,408/215,410,843,163.70 - Step 6: Final answer
x = 323,116,264,745.55
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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.