Finding the Fourth Proportional to 1,603,410,758,671, 2,212,786,345,648 and 994,618,202,256.34
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Solution
The fourth proportional to 1,603,410,758,671, 2,212,786,345,648 and 994,618,202,256.34 is: 1,372,622,433,262.21
Step by Step Solution
- Step 1: Write the proportion equation
1,603,410,758,671 : 2,212,786,345,648 = 994,618,202,256.34 : x - Step 2: Convert to fraction form
1,603,410,758,671/2,212,786,345,648 = 994,618,202,256.34/x - Step 3: Cross multiply
1,603,410,758,671x = 2,212,786,345,648 × 994,618,202,256.34 - Step 4: Simplify right side
1,603,410,758,671x = 2,200,877,577,085,789,757,505,536 - Step 5: Solve for x
x = 2,200,877,577,085,789,757,505,536/1,603,410,758,671 - Step 6: Final answer
x = 1,372,622,433,262.21
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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.