Finding the Fourth Proportional to 598,455,633,543.23, 825,858,566,638.05 and 324,099,057,554.75
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Solution
The fourth proportional to 598,455,633,543.23, 825,858,566,638.05 and 324,099,057,554.75 is: 447,251,171,379.56
Step by Step Solution
- Step 1: Write the proportion equation
598,455,633,543.23 : 825,858,566,638.05 = 324,099,057,554.75 : x - Step 2: Convert to fraction form
598,455,633,543.23/825,858,566,638.05 = 324,099,057,554.75/x - Step 3: Cross multiply
598,455,633,543.23x = 825,858,566,638.05 × 324,099,057,554.75 - Step 4: Simplify right side
598,455,633,543.23x = 267,659,983,120,908,706,381,824 - Step 5: Solve for x
x = 267,659,983,120,908,706,381,824/598,455,633,543.23 - Step 6: Final answer
x = 447,251,171,379.56
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.