Finding the Fourth Proportional to 3,782,546,620,576, 5,219,919,370,234.80 and 2,048,359,167,687.80
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Solution
The fourth proportional to 3,782,546,620,576, 5,219,919,370,234.80 and 2,048,359,167,687.80 is: 2,826,738,377,380.10
Step by Step Solution
- Step 1: Write the proportion equation
3,782,546,620,576 : 5,219,919,370,234.80 = 2,048,359,167,687.80 : x - Step 2: Convert to fraction form
3,782,546,620,576/5,219,919,370,234.80 = 2,048,359,167,687.80/x - Step 3: Cross multiply
3,782,546,620,576x = 5,219,919,370,234.80 × 2,048,359,167,687.80 - Step 4: Simplify right side
3,782,546,620,576x = 10,692,269,696,611,579,951,316,992 - Step 5: Solve for x
x = 10,692,269,696,611,579,951,316,992/3,782,546,620,576 - Step 6: Final answer
x = 2,826,738,377,380.10
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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.