Finding the Fourth Proportional to 439,540,981,837.70, 659,359,845,697.35 and 160,429,113,421.70
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Solution
The fourth proportional to 439,540,981,837.70, 659,359,845,697.35 and 160,429,113,421.70 is: 240,661,325,887.82
Step by Step Solution
- Step 1: Write the proportion equation
439,540,981,837.70 : 659,359,845,697.35 = 160,429,113,421.70 : x - Step 2: Convert to fraction form
439,540,981,837.70/659,359,845,697.35 = 160,429,113,421.70/x - Step 3: Cross multiply
439,540,981,837.70x = 659,359,845,697.35 × 160,429,113,421.70 - Step 4: Simplify right side
439,540,981,837.70x = 105,780,515,471,094,785,769,472 - Step 5: Solve for x
x = 105,780,515,471,094,785,769,472/439,540,981,837.70 - Step 6: Final answer
x = 240,661,325,887.82
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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.