Finding the Fourth Proportional to 747,112,378.11, 1,121,348,622.98 and 397,651,834
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Solution
The fourth proportional to 747,112,378.11, 1,121,348,622.98 and 397,651,834 is: 596,839,711.86
Step by Step Solution
- Step 1: Write the proportion equation
747,112,378.11 : 1,121,348,622.98 = 397,651,834 : x - Step 2: Convert to fraction form
747,112,378.11/1,121,348,622.98 = 397,651,834/x - Step 3: Cross multiply
747,112,378.11x = 1,121,348,622.98 × 397,651,834 - Step 4: Simplify right side
747,112,378.11x = 445,906,336,481,371,584 - Step 5: Solve for x
x = 445,906,336,481,371,584/747,112,378.11 - Step 6: Final answer
x = 596,839,711.86
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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.