Finding the Fourth Proportional to 582,201,556,011, 873,320,124,977.19 and 199,740,266,351.82
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Solution
The fourth proportional to 582,201,556,011, 873,320,124,977.19 and 199,740,266,351.82 is: 299,616,503,206.41
Step by Step Solution
- Step 1: Write the proportion equation
582,201,556,011 : 873,320,124,977.19 = 199,740,266,351.82 : x - Step 2: Convert to fraction form
582,201,556,011/873,320,124,977.19 = 199,740,266,351.82/x - Step 3: Cross multiply
582,201,556,011x = 873,320,124,977.19 × 199,740,266,351.82 - Step 4: Simplify right side
582,201,556,011x = 174,437,194,373,348,640,948,224 - Step 5: Solve for x
x = 174,437,194,373,348,640,948,224/582,201,556,011 - Step 6: Final answer
x = 299,616,503,206.41
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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.