Finding the Fourth Proportional to 1,461,468,395.10, 2,192,202,592.65 and 1,151,532,003.90
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Solution
The fourth proportional to 1,461,468,395.10, 2,192,202,592.65 and 1,151,532,003.90 is: 1,727,298,005.85
Step by Step Solution
- Step 1: Write the proportion equation
1,461,468,395.10 : 2,192,202,592.65 = 1,151,532,003.90 : x - Step 2: Convert to fraction form
1,461,468,395.10/2,192,202,592.65 = 1,151,532,003.90/x - Step 3: Cross multiply
1,461,468,395.10x = 2,192,202,592.65 × 1,151,532,003.90 - Step 4: Simplify right side
1,461,468,395.10x = 2,524,391,444,469,030,400 - Step 5: Solve for x
x = 2,524,391,444,469,030,400/1,461,468,395.10 - Step 6: Final answer
x = 1,727,298,005.85
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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.