Finding the Fourth Proportional to 416,132,960.67, 574,264,163.88 and 227,957,124.03
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Solution
The fourth proportional to 416,132,960.67, 574,264,163.88 and 227,957,124.03 is: 314,581,202.65
Step by Step Solution
- Step 1: Write the proportion equation
416,132,960.67 : 574,264,163.88 = 227,957,124.03 : x - Step 2: Convert to fraction form
416,132,960.67/574,264,163.88 = 227,957,124.03/x - Step 3: Cross multiply
416,132,960.67x = 574,264,163.88 × 227,957,124.03 - Step 4: Simplify right side
416,132,960.67x = 130,907,607,231,577,408 - Step 5: Solve for x
x = 130,907,607,231,577,408/416,132,960.67 - Step 6: Final answer
x = 314,581,202.65
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.