Finding the Fourth Proportional to 55,192,297,375,998, 76,160,259,024,810 and 30,527,724,659,820
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Solution
The fourth proportional to 55,192,297,375,998, 76,160,259,024,810 and 30,527,724,659,820 is: 42,125,432,860,511.18
Step by Step Solution
- Step 1: Write the proportion equation
55,192,297,375,998 : 76,160,259,024,810 = 30,527,724,659,820 : x - Step 2: Convert to fraction form
55,192,297,375,998/76,160,259,024,810 = 30,527,724,659,820/x - Step 3: Cross multiply
55,192,297,375,998x = 76,160,259,024,810 × 30,527,724,659,820 - Step 4: Simplify right side
55,192,297,375,998x = 2,324,999,417,529,970,905,300,598,784 - Step 5: Solve for x
x = 2,324,999,417,529,970,905,300,598,784/55,192,297,375,998 - Step 6: Final answer
x = 42,125,432,860,511.18
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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.