Finding the Fourth Proportional to 810,910,238,251.10, 1,119,057,236,949.80 and 440,113,661,904.44
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Solution
The fourth proportional to 810,910,238,251.10, 1,119,057,236,949.80 and 440,113,661,904.44 is: 607,357,454,872.99
Step by Step Solution
- Step 1: Write the proportion equation
810,910,238,251.10 : 1,119,057,236,949.80 = 440,113,661,904.44 : x - Step 2: Convert to fraction form
810,910,238,251.10/1,119,057,236,949.80 = 440,113,661,904.44/x - Step 3: Cross multiply
810,910,238,251.10x = 1,119,057,236,949.80 × 440,113,661,904.44 - Step 4: Simplify right side
810,910,238,251.10x = 492,512,378,434,641,083,760,640 - Step 5: Solve for x
x = 492,512,378,434,641,083,760,640/810,910,238,251.10 - Step 6: Final answer
x = 607,357,454,872.99
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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.