Finding the Fourth Proportional to 2,107,251,568,508.20, 3,160,264,148,145.40 and 816,174,864,112.40
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Solution
The fourth proportional to 2,107,251,568,508.20, 3,160,264,148,145.40 and 816,174,864,112.40 is: 1,224,024,791,448.07
Step by Step Solution
- Step 1: Write the proportion equation
2,107,251,568,508.20 : 3,160,264,148,145.40 = 816,174,864,112.40 : x - Step 2: Convert to fraction form
2,107,251,568,508.20/3,160,264,148,145.40 = 816,174,864,112.40/x - Step 3: Cross multiply
2,107,251,568,508.20x = 3,160,264,148,145.40 × 816,174,864,112.40 - Step 4: Simplify right side
2,107,251,568,508.20x = 2,579,328,161,671,861,216,739,328 - Step 5: Solve for x
x = 2,579,328,161,671,861,216,739,328/2,107,251,568,508.20 - Step 6: Final answer
x = 1,224,024,791,448.07
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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.