Finding the Fourth Proportional to 598,552,292,191.50, 825,995,582,862 and 324,191,119,537.25
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Solution
The fourth proportional to 598,552,292,191.50, 825,995,582,862 and 324,191,119,537.25 is: 447,380,180,870.12
Step by Step Solution
- Step 1: Write the proportion equation
598,552,292,191.50 : 825,995,582,862 = 324,191,119,537.25 : x - Step 2: Convert to fraction form
598,552,292,191.50/825,995,582,862 = 324,191,119,537.25/x - Step 3: Cross multiply
598,552,292,191.50x = 825,995,582,862 × 324,191,119,537.25 - Step 4: Simplify right side
598,552,292,191.50x = 267,780,432,740,855,140,319,232 - Step 5: Solve for x
x = 267,780,432,740,855,140,319,232/598,552,292,191.50 - Step 6: Final answer
x = 447,380,180,870.12
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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.