Finding the Fourth Proportional to 5,784,768,410,230, 7,982,981,709,153.50 and 3,183,482,744,727.60
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Solution
The fourth proportional to 5,784,768,410,230, 7,982,981,709,153.50 and 3,183,482,744,727.60 is: 4,393,206,904,812.94
Step by Step Solution
- Step 1: Write the proportion equation
5,784,768,410,230 : 7,982,981,709,153.50 = 3,183,482,744,727.60 : x - Step 2: Convert to fraction form
5,784,768,410,230/7,982,981,709,153.50 = 3,183,482,744,727.60/x - Step 3: Cross multiply
5,784,768,410,230x = 7,982,981,709,153.50 × 3,183,482,744,727.60 - Step 4: Simplify right side
5,784,768,410,230x = 25,413,684,522,566,213,640,912,896 - Step 5: Solve for x
x = 25,413,684,522,566,213,640,912,896/5,784,768,410,230 - Step 6: Final answer
x = 4,393,206,904,812.94
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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.