Finding the Fourth Proportional to 419,704,324,067.85, 629,558,321,568.84 and 132,863,781,122.91
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Solution
The fourth proportional to 419,704,324,067.85, 629,558,321,568.84 and 132,863,781,122.91 is: 199,296,252,729.35
Step by Step Solution
- Step 1: Write the proportion equation
419,704,324,067.85 : 629,558,321,568.84 = 132,863,781,122.91 : x - Step 2: Convert to fraction form
419,704,324,067.85/629,558,321,568.84 = 132,863,781,122.91/x - Step 3: Cross multiply
419,704,324,067.85x = 629,558,321,568.84 × 132,863,781,122.91 - Step 4: Simplify right side
419,704,324,067.85x = 83,645,499,041,028,937,613,312 - Step 5: Solve for x
x = 83,645,499,041,028,937,613,312/419,704,324,067.85 - Step 6: Final answer
x = 199,296,252,729.35
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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.