Finding the Fourth Proportional to 176,201,068,476.78, 264,113,429,163.30 and 100,491,197,379.75
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Solution
The fourth proportional to 176,201,068,476.78, 264,113,429,163.30 and 100,491,197,379.75 is: 150,629,476,711.66
Step by Step Solution
- Step 1: Write the proportion equation
176,201,068,476.78 : 264,113,429,163.30 = 100,491,197,379.75 : x - Step 2: Convert to fraction form
176,201,068,476.78/264,113,429,163.30 = 100,491,197,379.75/x - Step 3: Cross multiply
176,201,068,476.78x = 264,113,429,163.30 × 100,491,197,379.75 - Step 4: Simplify right side
176,201,068,476.78x = 26,541,074,740,691,798,589,440 - Step 5: Solve for x
x = 26,541,074,740,691,798,589,440/176,201,068,476.78 - Step 6: Final answer
x = 150,629,476,711.66
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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.