Finding the Fourth Proportional to 283,297,135,793.76, 424,513,291,906.21 and 168,204,161,917.72
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Solution
The fourth proportional to 283,297,135,793.76, 424,513,291,906.21 and 168,204,161,917.72 is: 252,049,503,740.83
Step by Step Solution
- Step 1: Write the proportion equation
283,297,135,793.76 : 424,513,291,906.21 = 168,204,161,917.72 : x - Step 2: Convert to fraction form
283,297,135,793.76/424,513,291,906.21 = 168,204,161,917.72/x - Step 3: Cross multiply
283,297,135,793.76x = 424,513,291,906.21 × 168,204,161,917.72 - Step 4: Simplify right side
283,297,135,793.76x = 71,404,902,488,016,487,972,864 - Step 5: Solve for x
x = 71,404,902,488,016,487,972,864/283,297,135,793.76 - Step 6: Final answer
x = 252,049,503,740.83
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.