Finding the Fourth Proportional to 176,149,729,201.80, 264,224,593,805.14 and 176,149,729,201.80
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Solution
The fourth proportional to 176,149,729,201.80, 264,224,593,805.14 and 176,149,729,201.80 is: 264,224,593,805.14
Step by Step Solution
- Step 1: Write the proportion equation
176,149,729,201.80 : 264,224,593,805.14 = 176,149,729,201.80 : x - Step 2: Convert to fraction form
176,149,729,201.80/264,224,593,805.14 = 176,149,729,201.80/x - Step 3: Cross multiply
176,149,729,201.80x = 264,224,593,805.14 × 176,149,729,201.80 - Step 4: Simplify right side
176,149,729,201.80x = 46,543,090,647,231,008,604,160 - Step 5: Solve for x
x = 46,543,090,647,231,008,604,160/176,149,729,201.80 - Step 6: Final answer
x = 264,224,593,805.14
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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.