Finding the Fourth Proportional to 10,123,629,836,989, 13,970,598,320,814 and 5,499,125,442,715
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Solution
The fourth proportional to 10,123,629,836,989, 13,970,598,320,814 and 5,499,125,442,715 is: 7,588,787,214,960.99
Step by Step Solution
- Step 1: Write the proportion equation
10,123,629,836,989 : 13,970,598,320,814 = 5,499,125,442,715 : x - Step 2: Convert to fraction form
10,123,629,836,989/13,970,598,320,814 = 5,499,125,442,715/x - Step 3: Cross multiply
10,123,629,836,989x = 13,970,598,320,814 × 5,499,125,442,715 - Step 4: Simplify right side
10,123,629,836,989x = 76,826,072,675,939,723,144,855,552 - Step 5: Solve for x
x = 76,826,072,675,939,723,144,855,552/10,123,629,836,989 - Step 6: Final answer
x = 7,588,787,214,960.99
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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.