Finding the Fourth Proportional to 2,256,244,520,921.60, 3,384,813,442,204.70 and 644,592,122,732.48
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Solution
The fourth proportional to 2,256,244,520,921.60, 3,384,813,442,204.70 and 644,592,122,732.48 is: 967,015,791,742.71
Step by Step Solution
- Step 1: Write the proportion equation
2,256,244,520,921.60 : 3,384,813,442,204.70 = 644,592,122,732.48 : x - Step 2: Convert to fraction form
2,256,244,520,921.60/3,384,813,442,204.70 = 644,592,122,732.48/x - Step 3: Cross multiply
2,256,244,520,921.60x = 3,384,813,442,204.70 × 644,592,122,732.48 - Step 4: Simplify right side
2,256,244,520,921.60x = 2,181,824,081,764,160,215,449,600 - Step 5: Solve for x
x = 2,181,824,081,764,160,215,449,600/2,256,244,520,921.60 - Step 6: Final answer
x = 967,015,791,742.71
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.