Finding the Fourth Proportional to 4,078,334,219,198, 5,628,072,591,629.40 and 2,226,442,373,160.80
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Solution
The fourth proportional to 4,078,334,219,198, 5,628,072,591,629.40 and 2,226,442,373,160.80 is: 3,072,474,844,813.66
Step by Step Solution
- Step 1: Write the proportion equation
4,078,334,219,198 : 5,628,072,591,629.40 = 2,226,442,373,160.80 : x - Step 2: Convert to fraction form
4,078,334,219,198/5,628,072,591,629.40 = 2,226,442,373,160.80/x - Step 3: Cross multiply
4,078,334,219,198x = 5,628,072,591,629.40 × 2,226,442,373,160.80 - Step 4: Simplify right side
4,078,334,219,198x = 12,530,579,297,228,615,929,823,232 - Step 5: Solve for x
x = 12,530,579,297,228,615,929,823,232/4,078,334,219,198 - Step 6: Final answer
x = 3,072,474,844,813.66
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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.