Finding the Fourth Proportional to 144,582,912,163.30, 216,874,368,244.95 and 144,582,912,163.30
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Solution
The fourth proportional to 144,582,912,163.30, 216,874,368,244.95 and 144,582,912,163.30 is: 216,874,368,244.95
Step by Step Solution
- Step 1: Write the proportion equation
144,582,912,163.30 : 216,874,368,244.95 = 144,582,912,163.30 : x - Step 2: Convert to fraction form
144,582,912,163.30/216,874,368,244.95 = 144,582,912,163.30/x - Step 3: Cross multiply
144,582,912,163.30x = 216,874,368,244.95 × 144,582,912,163.30 - Step 4: Simplify right side
144,582,912,163.30x = 31,356,327,734,430,784,290,816 - Step 5: Solve for x
x = 31,356,327,734,430,784,290,816/144,582,912,163.30 - Step 6: Final answer
x = 216,874,368,244.95
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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.