Finding the Fourth Proportional to 2,582,476,481,262.80, 3,563,796,364,876 and 1,410,576,919,913.20
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Solution
The fourth proportional to 2,582,476,481,262.80, 3,563,796,364,876 and 1,410,576,919,913.20 is: 1,946,584,581,132.95
Step by Step Solution
- Step 1: Write the proportion equation
2,582,476,481,262.80 : 3,563,796,364,876 = 1,410,576,919,913.20 : x - Step 2: Convert to fraction form
2,582,476,481,262.80/3,563,796,364,876 = 1,410,576,919,913.20/x - Step 3: Cross multiply
2,582,476,481,262.80x = 3,563,796,364,876 × 1,410,576,919,913.20 - Step 4: Simplify right side
2,582,476,481,262.80x = 5,027,008,899,564,646,464,225,280 - Step 5: Solve for x
x = 5,027,008,899,564,646,464,225,280/2,582,476,481,262.80 - Step 6: Final answer
x = 1,946,584,581,132.95
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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.