Finding the Fourth Proportional to 4,078,334,219,197, 5,628,072,591,628.60 and 2,226,442,373,159.80
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Solution
The fourth proportional to 4,078,334,219,197, 5,628,072,591,628.60 and 2,226,442,373,159.80 is: 3,072,474,844,812.60
Step by Step Solution
- Step 1: Write the proportion equation
4,078,334,219,197 : 5,628,072,591,628.60 = 2,226,442,373,159.80 : x - Step 2: Convert to fraction form
4,078,334,219,197/5,628,072,591,628.60 = 2,226,442,373,159.80/x - Step 3: Cross multiply
4,078,334,219,197x = 5,628,072,591,628.60 × 2,226,442,373,159.80 - Step 4: Simplify right side
4,078,334,219,197x = 12,530,579,297,221,204,963,753,984 - Step 5: Solve for x
x = 12,530,579,297,221,204,963,753,984/4,078,334,219,197 - Step 6: Final answer
x = 3,072,474,844,812.60
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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.