Finding the Fourth Proportional to 5,000,149,155.96, 6,899,571,627.84 and 2,741,494,321.98
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Solution
The fourth proportional to 5,000,149,155.96, 6,899,571,627.84 and 2,741,494,321.98 is: 3,782,914,439.52
Step by Step Solution
- Step 1: Write the proportion equation
5,000,149,155.96 : 6,899,571,627.84 = 2,741,494,321.98 : x - Step 2: Convert to fraction form
5,000,149,155.96/6,899,571,627.84 = 2,741,494,321.98/x - Step 3: Cross multiply
5,000,149,155.96x = 6,899,571,627.84 × 2,741,494,321.98 - Step 4: Simplify right side
5,000,149,155.96x = 18,915,136,441,817,665,536 - Step 5: Solve for x
x = 18,915,136,441,817,665,536/5,000,149,155.96 - Step 6: Final answer
x = 3,782,914,439.52
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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.