Finding the Fourth Proportional to 981,907,921,164.52, 1,354,836,407,314 and 548,293,592,296.54
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Solution
The fourth proportional to 981,907,921,164.52, 1,354,836,407,314 and 548,293,592,296.54 is: 756,535,419,186.08
Step by Step Solution
- Step 1: Write the proportion equation
981,907,921,164.52 : 1,354,836,407,314 = 548,293,592,296.54 : x - Step 2: Convert to fraction form
981,907,921,164.52/1,354,836,407,314 = 548,293,592,296.54/x - Step 3: Cross multiply
981,907,921,164.52x = 1,354,836,407,314 × 548,293,592,296.54 - Step 4: Simplify right side
981,907,921,164.52x = 742,848,120,740,331,229,544,448 - Step 5: Solve for x
x = 742,848,120,740,331,229,544,448/981,907,921,164.52 - Step 6: Final answer
x = 756,535,419,186.08
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.