Finding the Fourth Proportional to 6,292,436,960,737, 8,683,470,592,216.50 and 3,514,639,730,204.20
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Solution
The fourth proportional to 6,292,436,960,737, 8,683,470,592,216.50 and 3,514,639,730,204.20 is: 4,850,151,210,078.92
Step by Step Solution
- Step 1: Write the proportion equation
6,292,436,960,737 : 8,683,470,592,216.50 = 3,514,639,730,204.20 : x - Step 2: Convert to fraction form
6,292,436,960,737/8,683,470,592,216.50 = 3,514,639,730,204.20/x - Step 3: Cross multiply
6,292,436,960,737x = 8,683,470,592,216.50 × 3,514,639,730,204.20 - Step 4: Simplify right side
6,292,436,960,737x = 30,519,270,739,463,906,248,359,936 - Step 5: Solve for x
x = 30,519,270,739,463,906,248,359,936/6,292,436,960,737 - Step 6: Final answer
x = 4,850,151,210,078.92
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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.