Finding the Fourth Proportional to 517,512,290,209.02, 776,284,249,694.85 and 177,546,699,491.44
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Solution
The fourth proportional to 517,512,290,209.02, 776,284,249,694.85 and 177,546,699,491.44 is: 266,325,474,791.80
Step by Step Solution
- Step 1: Write the proportion equation
517,512,290,209.02 : 776,284,249,694.85 = 177,546,699,491.44 : x - Step 2: Convert to fraction form
517,512,290,209.02/776,284,249,694.85 = 177,546,699,491.44/x - Step 3: Cross multiply
517,512,290,209.02x = 776,284,249,694.85 × 177,546,699,491.44 - Step 4: Simplify right side
517,512,290,209.02x = 137,826,706,400,509,496,918,016 - Step 5: Solve for x
x = 137,826,706,400,509,496,918,016/517,512,290,209.02 - Step 6: Final answer
x = 266,325,474,791.80
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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.