Finding the Fourth Proportional to 2,107,251,568,516.30, 3,160,264,148,157.80 and 816,174,864,120.45
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Solution
The fourth proportional to 2,107,251,568,516.30, 3,160,264,148,157.80 and 816,174,864,120.45 is: 1,224,024,791,460.24
Step by Step Solution
- Step 1: Write the proportion equation
2,107,251,568,516.30 : 3,160,264,148,157.80 = 816,174,864,120.45 : x - Step 2: Convert to fraction form
2,107,251,568,516.30/3,160,264,148,157.80 = 816,174,864,120.45/x - Step 3: Cross multiply
2,107,251,568,516.30x = 3,160,264,148,157.80 × 816,174,864,120.45 - Step 4: Simplify right side
2,107,251,568,516.30x = 2,579,328,161,707,421,935,337,472 - Step 5: Solve for x
x = 2,579,328,161,707,421,935,337,472/2,107,251,568,516.30 - Step 6: Final answer
x = 1,224,024,791,460.24
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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.