Finding the Fourth Proportional to 517,512,494,235, 776,284,555,539.80 and 177,546,903,426.84
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Solution
The fourth proportional to 517,512,494,235, 776,284,555,539.80 and 177,546,903,426.84 is: 266,325,780,632.43
Step by Step Solution
- Step 1: Write the proportion equation
517,512,494,235 : 776,284,555,539.80 = 177,546,903,426.84 : x - Step 2: Convert to fraction form
517,512,494,235/776,284,555,539.80 = 177,546,903,426.84/x - Step 3: Cross multiply
517,512,494,235x = 776,284,555,539.80 × 177,546,903,426.84 - Step 4: Simplify right side
517,512,494,235x = 137,826,919,014,172,287,041,536 - Step 5: Solve for x
x = 137,826,919,014,172,287,041,536/517,512,494,235 - Step 6: Final answer
x = 266,325,780,632.43
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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.