Finding the Fourth Proportional to 327,560,250,415.09, 491,340,375,622.64 and 327,560,250,415.09
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Solution
The fourth proportional to 327,560,250,415.09, 491,340,375,622.64 and 327,560,250,415.09 is: 491,340,375,622.64
Step by Step Solution
- Step 1: Write the proportion equation
327,560,250,415.09 : 491,340,375,622.64 = 327,560,250,415.09 : x - Step 2: Convert to fraction form
327,560,250,415.09/491,340,375,622.64 = 327,560,250,415.09/x - Step 3: Cross multiply
327,560,250,415.09x = 491,340,375,622.64 × 327,560,250,415.09 - Step 4: Simplify right side
327,560,250,415.09x = 160,943,576,477,996,372,983,808 - Step 5: Solve for x
x = 160,943,576,477,996,372,983,808/327,560,250,415.09 - Step 6: Final answer
x = 491,340,375,622.64
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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.