Finding the Fourth Proportional to 176,149,877,442.30, 264,224,816,163.45 and 176,149,877,442.30
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Solution
The fourth proportional to 176,149,877,442.30, 264,224,816,163.45 and 176,149,877,442.30 is: 264,224,816,163.45
Step by Step Solution
- Step 1: Write the proportion equation
176,149,877,442.30 : 264,224,816,163.45 = 176,149,877,442.30 : x - Step 2: Convert to fraction form
176,149,877,442.30/264,224,816,163.45 = 176,149,877,442.30/x - Step 3: Cross multiply
176,149,877,442.30x = 264,224,816,163.45 × 176,149,877,442.30 - Step 4: Simplify right side
176,149,877,442.30x = 46,543,168,984,405,965,275,136 - Step 5: Solve for x
x = 46,543,168,984,405,965,275,136/176,149,877,442.30 - Step 6: Final answer
x = 264,224,816,163.45
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1.5x scale
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.