Finding the Fourth Proportional to 517,512,290,163.80, 776,284,249,627.30 and 177,546,699,446.36
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Solution
The fourth proportional to 517,512,290,163.80, 776,284,249,627.30 and 177,546,699,446.36 is: 266,325,474,724.28
Step by Step Solution
- Step 1: Write the proportion equation
517,512,290,163.80 : 776,284,249,627.30 = 177,546,699,446.36 : x - Step 2: Convert to fraction form
517,512,290,163.80/776,284,249,627.30 = 177,546,699,446.36/x - Step 3: Cross multiply
517,512,290,163.80x = 776,284,249,627.30 × 177,546,699,446.36 - Step 4: Simplify right side
517,512,290,163.80x = 137,826,706,353,521,329,963,008 - Step 5: Solve for x
x = 137,826,706,353,521,329,963,008/517,512,290,163.80 - Step 6: Final answer
x = 266,325,474,724.28
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.