Finding the Fourth Proportional to 3,782,546,620,627.40, 5,219,919,370,305.40 and 2,048,359,167,739
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Solution
The fourth proportional to 3,782,546,620,627.40, 5,219,919,370,305.40 and 2,048,359,167,739 is: 2,826,738,377,450.58
Step by Step Solution
- Step 1: Write the proportion equation
3,782,546,620,627.40 : 5,219,919,370,305.40 = 2,048,359,167,739 : x - Step 2: Convert to fraction form
3,782,546,620,627.40/5,219,919,370,305.40 = 2,048,359,167,739/x - Step 3: Cross multiply
3,782,546,620,627.40x = 5,219,919,370,305.40 × 2,048,359,167,739 - Step 4: Simplify right side
3,782,546,620,627.40x = 10,692,269,697,023,454,430,101,504 - Step 5: Solve for x
x = 10,692,269,697,023,454,430,101,504/3,782,546,620,627.40 - Step 6: Final answer
x = 2,826,738,377,450.58
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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.