Finding the Fourth Proportional to 2,582,476,481,264, 3,563,796,364,878.20 and 1,410,576,919,914.70
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Solution
The fourth proportional to 2,582,476,481,264, 3,563,796,364,878.20 and 1,410,576,919,914.70 is: 1,946,584,581,135.32
Step by Step Solution
- Step 1: Write the proportion equation
2,582,476,481,264 : 3,563,796,364,878.20 = 1,410,576,919,914.70 : x - Step 2: Convert to fraction form
2,582,476,481,264/3,563,796,364,878.20 = 1,410,576,919,914.70/x - Step 3: Cross multiply
2,582,476,481,264x = 3,563,796,364,878.20 × 1,410,576,919,914.70 - Step 4: Simplify right side
2,582,476,481,264x = 5,027,008,899,573,095,738,638,336 - Step 5: Solve for x
x = 5,027,008,899,573,095,738,638,336/2,582,476,481,264 - Step 6: Final answer
x = 1,946,584,581,135.32
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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.