Finding the Fourth Proportional to 176,149,728,199.80, 264,224,592,299.70 and 176,149,728,199.80
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Solution
The fourth proportional to 176,149,728,199.80, 264,224,592,299.70 and 176,149,728,199.80 is: 264,224,592,299.70
Step by Step Solution
- Step 1: Write the proportion equation
176,149,728,199.80 : 264,224,592,299.70 = 176,149,728,199.80 : x - Step 2: Convert to fraction form
176,149,728,199.80/264,224,592,299.70 = 176,149,728,199.80/x - Step 3: Cross multiply
176,149,728,199.80x = 264,224,592,299.70 × 176,149,728,199.80 - Step 4: Simplify right side
176,149,728,199.80x = 46,543,090,117,295,118,221,312 - Step 5: Solve for x
x = 46,543,090,117,295,118,221,312/176,149,728,199.80 - Step 6: Final answer
x = 264,224,592,299.70
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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.