Finding the Fourth Proportional to 45,777,378,533,916, 68,666,064,013,906 and 12,695,874,350,256
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Solution
The fourth proportional to 45,777,378,533,916, 68,666,064,013,906 and 12,695,874,350,256 is: 19,043,810,475,108.27
Step by Step Solution
- Step 1: Write the proportion equation
45,777,378,533,916 : 68,666,064,013,906 = 12,695,874,350,256 : x - Step 2: Convert to fraction form
45,777,378,533,916/68,666,064,013,906 = 12,695,874,350,256/x - Step 3: Cross multiply
45,777,378,533,916x = 68,666,064,013,906 × 12,695,874,350,256 - Step 4: Simplify right side
45,777,378,533,916x = 871,775,720,847,185,758,621,007,872 - Step 5: Solve for x
x = 871,775,720,847,185,758,621,007,872/45,777,378,533,916 - Step 6: Final answer
x = 19,043,810,475,108.27
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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.