Finding the Fourth Proportional to 517,512,290,232.15, 776,284,249,729.62 and 177,546,699,514.71
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Solution
The fourth proportional to 517,512,290,232.15, 776,284,249,729.62 and 177,546,699,514.71 is: 266,325,474,826.73
Step by Step Solution
- Step 1: Write the proportion equation
517,512,290,232.15 : 776,284,249,729.62 = 177,546,699,514.71 : x - Step 2: Convert to fraction form
517,512,290,232.15/776,284,249,729.62 = 177,546,699,514.71/x - Step 3: Cross multiply
517,512,290,232.15x = 776,284,249,729.62 × 177,546,699,514.71 - Step 4: Simplify right side
517,512,290,232.15x = 137,826,706,424,746,936,893,440 - Step 5: Solve for x
x = 137,826,706,424,746,936,893,440/517,512,290,232.15 - Step 6: Final answer
x = 266,325,474,826.73
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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.