Finding the Fourth Proportional to 54,848,174,552,332, 75,690,493,236,924 and 30,184,132,686,816
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Solution
The fourth proportional to 54,848,174,552,332, 75,690,493,236,924 and 30,184,132,686,816 is: 41,654,109,906,867
Step by Step Solution
- Step 1: Write the proportion equation
54,848,174,552,332 : 75,690,493,236,924 = 30,184,132,686,816 : x - Step 2: Convert to fraction form
54,848,174,552,332/75,690,493,236,924 = 30,184,132,686,816/x - Step 3: Cross multiply
54,848,174,552,332x = 75,690,493,236,924 × 30,184,132,686,816 - Step 4: Simplify right side
54,848,174,552,332x = 2,284,651,890,993,863,019,378,769,920 - Step 5: Solve for x
x = 2,284,651,890,993,863,019,378,769,920/54,848,174,552,332 - Step 6: Final answer
x = 41,654,109,906,867
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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.