Finding the Fourth Proportional to 2,107,251,568,501.90, 3,160,264,148,136.10 and 816,174,864,106.15
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Solution
The fourth proportional to 2,107,251,568,501.90, 3,160,264,148,136.10 and 816,174,864,106.15 is: 1,224,024,791,438.75
Step by Step Solution
- Step 1: Write the proportion equation
2,107,251,568,501.90 : 3,160,264,148,136.10 = 816,174,864,106.15 : x - Step 2: Convert to fraction form
2,107,251,568,501.90/3,160,264,148,136.10 = 816,174,864,106.15/x - Step 3: Cross multiply
2,107,251,568,501.90x = 3,160,264,148,136.10 × 816,174,864,106.15 - Step 4: Simplify right side
2,107,251,568,501.90x = 2,579,328,161,644,519,454,932,992 - Step 5: Solve for x
x = 2,579,328,161,644,519,454,932,992/2,107,251,568,501.90 - Step 6: Final answer
x = 1,224,024,791,438.75
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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.