Finding the Fourth Proportional to 2,582,476,481,243.60, 3,563,796,364,849.80 and 1,410,576,919,894
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Solution
The fourth proportional to 2,582,476,481,243.60, 3,563,796,364,849.80 and 1,410,576,919,894 is: 1,946,584,581,106.62
Step by Step Solution
- Step 1: Write the proportion equation
2,582,476,481,243.60 : 3,563,796,364,849.80 = 1,410,576,919,894 : x - Step 2: Convert to fraction form
2,582,476,481,243.60/3,563,796,364,849.80 = 1,410,576,919,894/x - Step 3: Cross multiply
2,582,476,481,243.60x = 3,563,796,364,849.80 × 1,410,576,919,894 - Step 4: Simplify right side
2,582,476,481,243.60x = 5,027,008,899,459,264,072,908,800 - Step 5: Solve for x
x = 5,027,008,899,459,264,072,908,800/2,582,476,481,243.60 - Step 6: Final answer
x = 1,946,584,581,106.62
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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.