Finding the Fourth Proportional to 842,326,836,610.75, 1,263,445,755,536.90 and 276,289,962,846.88
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Solution
The fourth proportional to 842,326,836,610.75, 1,263,445,755,536.90 and 276,289,962,846.88 is: 414,420,348,116.79
Step by Step Solution
- Step 1: Write the proportion equation
842,326,836,610.75 : 1,263,445,755,536.90 = 276,289,962,846.88 : x - Step 2: Convert to fraction form
842,326,836,610.75/1,263,445,755,536.90 = 276,289,962,846.88/x - Step 3: Cross multiply
842,326,836,610.75x = 1,263,445,755,536.90 × 276,289,962,846.88 - Step 4: Simplify right side
842,326,836,610.75x = 349,077,380,856,338,299,486,208 - Step 5: Solve for x
x = 349,077,380,856,338,299,486,208/842,326,836,610.75 - Step 6: Final answer
x = 414,420,348,116.79
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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.