Finding the Fourth Proportional to 416,810,367.94, 625,406,478.90 and 180,532,157.44
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Solution
The fourth proportional to 416,810,367.94, 625,406,478.90 and 180,532,157.44 is: 270,880,931.95
Step by Step Solution
- Step 1: Write the proportion equation
416,810,367.94 : 625,406,478.90 = 180,532,157.44 : x - Step 2: Convert to fraction form
416,810,367.94/625,406,478.90 = 180,532,157.44/x - Step 3: Cross multiply
416,810,367.94x = 625,406,478.90 × 180,532,157.44 - Step 4: Simplify right side
416,810,367.94x = 112,905,980,912,770,832 - Step 5: Solve for x
x = 112,905,980,912,770,832/416,810,367.94 - Step 6: Final answer
x = 270,880,931.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.