Finding the Fourth Proportional to 598,455,633,541.23, 825,858,566,635.29 and 324,099,057,552.75
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Solution
The fourth proportional to 598,455,633,541.23, 825,858,566,635.29 and 324,099,057,552.75 is: 447,251,171,376.80
Step by Step Solution
- Step 1: Write the proportion equation
598,455,633,541.23 : 825,858,566,635.29 = 324,099,057,552.75 : x - Step 2: Convert to fraction form
598,455,633,541.23/825,858,566,635.29 = 324,099,057,552.75/x - Step 3: Cross multiply
598,455,633,541.23x = 825,858,566,635.29 × 324,099,057,552.75 - Step 4: Simplify right side
598,455,633,541.23x = 267,659,983,118,362,495,418,368 - Step 5: Solve for x
x = 267,659,983,118,362,495,418,368/598,455,633,541.23 - Step 6: Final answer
x = 447,251,171,376.80
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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.