Finding the Fourth Proportional to 3,782,546,620,577, 5,219,919,370,236.20 and 2,048,359,167,688.80
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Solution
The fourth proportional to 3,782,546,620,577, 5,219,919,370,236.20 and 2,048,359,167,688.80 is: 2,826,738,377,381.49
Step by Step Solution
- Step 1: Write the proportion equation
3,782,546,620,577 : 5,219,919,370,236.20 = 2,048,359,167,688.80 : x - Step 2: Convert to fraction form
3,782,546,620,577/5,219,919,370,236.20 = 2,048,359,167,688.80/x - Step 3: Cross multiply
3,782,546,620,577x = 5,219,919,370,236.20 × 2,048,359,167,688.80 - Step 4: Simplify right side
3,782,546,620,577x = 10,692,269,696,619,667,374,735,360 - Step 5: Solve for x
x = 10,692,269,696,619,667,374,735,360/3,782,546,620,577 - Step 6: Final answer
x = 2,826,738,377,381.49
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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.