Finding the Fourth Proportional to 5,000,149,157.96, 6,899,571,630.60 and 2,741,494,323.98
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Solution
The fourth proportional to 5,000,149,157.96, 6,899,571,630.60 and 2,741,494,323.98 is: 3,782,914,442.28
Step by Step Solution
- Step 1: Write the proportion equation
5,000,149,157.96 : 6,899,571,630.60 = 2,741,494,323.98 : x - Step 2: Convert to fraction form
5,000,149,157.96/6,899,571,630.60 = 2,741,494,323.98/x - Step 3: Cross multiply
5,000,149,157.96x = 6,899,571,630.60 × 2,741,494,323.98 - Step 4: Simplify right side
5,000,149,157.96x = 18,915,136,463,183,335,424 - Step 5: Solve for x
x = 18,915,136,463,183,335,424/5,000,149,157.96 - Step 6: Final answer
x = 3,782,914,442.28
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1.5x scale
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.