Finding the Fourth Proportional to 2,053,710,705,532.70, 3,080,665,134,754.80 and 675,284,198,202.54
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Solution
The fourth proportional to 2,053,710,705,532.70, 3,080,665,134,754.80 and 675,284,198,202.54 is: 1,012,958,874,805.99
Step by Step Solution
- Step 1: Write the proportion equation
2,053,710,705,532.70 : 3,080,665,134,754.80 = 675,284,198,202.54 : x - Step 2: Convert to fraction form
2,053,710,705,532.70/3,080,665,134,754.80 = 675,284,198,202.54/x - Step 3: Cross multiply
2,053,710,705,532.70x = 3,080,665,134,754.80 × 675,284,198,202.54 - Step 4: Simplify right side
2,053,710,705,532.70x = 2,080,324,485,453,414,955,745,280 - Step 5: Solve for x
x = 2,080,324,485,453,414,955,745,280/2,053,710,705,532.70 - Step 6: Final answer
x = 1,012,958,874,805.99
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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.