Finding the Fourth Proportional to 3,787,351,306,431.70, 5,680,452,952,734 and 1,030,774,135,550.20
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Solution
The fourth proportional to 3,787,351,306,431.70, 5,680,452,952,734 and 1,030,774,135,550.20 is: 1,546,004,980,299.70
Step by Step Solution
- Step 1: Write the proportion equation
3,787,351,306,431.70 : 5,680,452,952,734 = 1,030,774,135,550.20 : x - Step 2: Convert to fraction form
3,787,351,306,431.70/5,680,452,952,734 = 1,030,774,135,550.20/x - Step 3: Cross multiply
3,787,351,306,431.70x = 5,680,452,952,734 × 1,030,774,135,550.20 - Step 4: Simplify right side
3,787,351,306,431.70x = 5,855,263,981,887,969,157,971,968 - Step 5: Solve for x
x = 5,855,263,981,887,969,157,971,968/3,787,351,306,431.70 - Step 6: Final answer
x = 1,546,004,980,299.70
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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.