Finding the Fourth Proportional to 45,861,532,770,092, 63,288,912,801,984 and 24,767,325,183,210
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Solution
The fourth proportional to 45,861,532,770,092, 63,288,912,801,984 and 24,767,325,183,210 is: 34,178,907,445,517.89
Step by Step Solution
- Step 1: Write the proportion equation
45,861,532,770,092 : 63,288,912,801,984 = 24,767,325,183,210 : x - Step 2: Convert to fraction form
45,861,532,770,092/63,288,912,801,984 = 24,767,325,183,210/x - Step 3: Cross multiply
45,861,532,770,092x = 63,288,912,801,984 × 24,767,325,183,210 - Step 4: Simplify right side
45,861,532,770,092x = 1,567,497,083,858,560,041,281,912,832 - Step 5: Solve for x
x = 1,567,497,083,858,560,041,281,912,832/45,861,532,770,092 - Step 6: Final answer
x = 34,178,907,445,517.89
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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.