Finding the Fourth Proportional to 7,123,113,108,026, 10,684,669,662,040 and 7,123,113,108,026
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Solution
The fourth proportional to 7,123,113,108,026, 10,684,669,662,040 and 7,123,113,108,026 is: 10,684,669,662,040
Step by Step Solution
- Step 1: Write the proportion equation
7,123,113,108,026 : 10,684,669,662,040 = 7,123,113,108,026 : x - Step 2: Convert to fraction form
7,123,113,108,026/10,684,669,662,040 = 7,123,113,108,026/x - Step 3: Cross multiply
7,123,113,108,026x = 10,684,669,662,040 × 7,123,113,108,026 - Step 4: Simplify right side
7,123,113,108,026x = 76,108,110,524,604,856,305,451,008 - Step 5: Solve for x
x = 76,108,110,524,604,856,305,451,008/7,123,113,108,026 - Step 6: Final answer
x = 10,684,669,662,040
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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.