Finding the Fourth Proportional to 55,099,919,300,780, 76,040,198,682,598 and 31,688,366,590,516
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Solution
The fourth proportional to 55,099,919,300,780, 76,040,198,682,598 and 31,688,366,590,516 is: 43,731,274,420,137.43
Step by Step Solution
- Step 1: Write the proportion equation
55,099,919,300,780 : 76,040,198,682,598 = 31,688,366,590,516 : x - Step 2: Convert to fraction form
55,099,919,300,780/76,040,198,682,598 = 31,688,366,590,516/x - Step 3: Cross multiply
55,099,919,300,780x = 76,040,198,682,598 × 31,688,366,590,516 - Step 4: Simplify right side
55,099,919,300,780x = 2,409,589,691,469,837,201,034,969,088 - Step 5: Solve for x
x = 2,409,589,691,469,837,201,034,969,088/55,099,919,300,780 - Step 6: Final answer
x = 43,731,274,420,137.43
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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.