Finding the Fourth Proportional to 327,519,295,847.09, 491,303,645,287.73 and 97,768,491,162.62
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Solution
The fourth proportional to 327,519,295,847.09, 491,303,645,287.73 and 97,768,491,162.62 is: 146,660,110,447.05
Step by Step Solution
- Step 1: Write the proportion equation
327,519,295,847.09 : 491,303,645,287.73 = 97,768,491,162.62 : x - Step 2: Convert to fraction form
327,519,295,847.09/491,303,645,287.73 = 97,768,491,162.62/x - Step 3: Cross multiply
327,519,295,847.09x = 491,303,645,287.73 × 97,768,491,162.62 - Step 4: Simplify right side
327,519,295,847.09x = 48,034,016,102,473,965,502,464 - Step 5: Solve for x
x = 48,034,016,102,473,965,502,464/327,519,295,847.09 - Step 6: Final answer
x = 146,660,110,447.05
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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.