Finding the Fourth Proportional to 74,560,233,198.23, 102,893,117,878.54 and 40,265,936,455.49
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Solution
The fourth proportional to 74,560,233,198.23, 102,893,117,878.54 and 40,265,936,455.49 is: 55,566,990,183.49
Step by Step Solution
- Step 1: Write the proportion equation
74,560,233,198.23 : 102,893,117,878.54 = 40,265,936,455.49 : x - Step 2: Convert to fraction form
74,560,233,198.23/102,893,117,878.54 = 40,265,936,455.49/x - Step 3: Cross multiply
74,560,233,198.23x = 102,893,117,878.54 × 40,265,936,455.49 - Step 4: Simplify right side
74,560,233,198.23x = 4,143,087,746,204,532,998,144 - Step 5: Solve for x
x = 4,143,087,746,204,532,998,144/74,560,233,198.23 - Step 6: Final answer
x = 55,566,990,183.49
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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.