Finding the Fourth Proportional to 721,868,905,463.84, 1,082,839,324,550.50 and 274,723,461,303.20
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Solution
The fourth proportional to 721,868,905,463.84, 1,082,839,324,550.50 and 274,723,461,303.20 is: 412,098,879,760.70
Step by Step Solution
- Step 1: Write the proportion equation
721,868,905,463.84 : 1,082,839,324,550.50 = 274,723,461,303.20 : x - Step 2: Convert to fraction form
721,868,905,463.84/1,082,839,324,550.50 = 274,723,461,303.20/x - Step 3: Cross multiply
721,868,905,463.84x = 1,082,839,324,550.50 × 274,723,461,303.20 - Step 4: Simplify right side
721,868,905,463.84x = 297,481,367,275,732,520,140,800 - Step 5: Solve for x
x = 297,481,367,275,732,520,140,800/721,868,905,463.84 - Step 6: Final answer
x = 412,098,879,760.70
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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.