Finding the Fourth Proportional to 2,766,777,700,166, 3,818,273,247,051.60 and 1,532,183,136,265.10
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Solution
The fourth proportional to 2,766,777,700,166, 3,818,273,247,051.60 and 1,532,183,136,265.10 is: 2,114,479,193,045.99
Step by Step Solution
- Step 1: Write the proportion equation
2,766,777,700,166 : 3,818,273,247,051.60 = 1,532,183,136,265.10 : x - Step 2: Convert to fraction form
2,766,777,700,166/3,818,273,247,051.60 = 1,532,183,136,265.10/x - Step 3: Cross multiply
2,766,777,700,166x = 3,818,273,247,051.60 × 1,532,183,136,265.10 - Step 4: Simplify right side
2,766,777,700,166x = 5,850,293,878,784,648,472,952,832 - Step 5: Solve for x
x = 5,850,293,878,784,648,472,952,832/2,766,777,700,166 - Step 6: Final answer
x = 2,114,479,193,045.99
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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.