Finding the Fourth Proportional to 403,168,944,366.49, 556,373,366,419.10 and 217,770,652,387.75
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Solution
The fourth proportional to 403,168,944,366.49, 556,373,366,419.10 and 217,770,652,387.75 is: 300,523,620,852.40
Step by Step Solution
- Step 1: Write the proportion equation
403,168,944,366.49 : 556,373,366,419.10 = 217,770,652,387.75 : x - Step 2: Convert to fraction form
403,168,944,366.49/556,373,366,419.10 = 217,770,652,387.75/x - Step 3: Cross multiply
403,168,944,366.49x = 556,373,366,419.10 × 217,770,652,387.75 - Step 4: Simplify right side
403,168,944,366.49x = 121,161,790,976,256,081,133,568 - Step 5: Solve for x
x = 121,161,790,976,256,081,133,568/403,168,944,366.49 - Step 6: Final answer
x = 300,523,620,852.40
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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.