Finding the Fourth Proportional to 2,112,672,171,906.20, 3,169,190,805,598.80 and 582,848,473,178.84
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Solution
The fourth proportional to 2,112,672,171,906.20, 3,169,190,805,598.80 and 582,848,473,178.84 is: 874,323,071,425.25
Step by Step Solution
- Step 1: Write the proportion equation
2,112,672,171,906.20 : 3,169,190,805,598.80 = 582,848,473,178.84 : x - Step 2: Convert to fraction form
2,112,672,171,906.20/3,169,190,805,598.80 = 582,848,473,178.84/x - Step 3: Cross multiply
2,112,672,171,906.20x = 3,169,190,805,598.80 × 582,848,473,178.84 - Step 4: Simplify right side
2,112,672,171,906.20x = 1,847,158,022,255,678,377,164,800 - Step 5: Solve for x
x = 1,847,158,022,255,678,377,164,800/2,112,672,171,906.20 - Step 6: Final answer
x = 874,323,071,425.25
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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.