Finding the Fourth Proportional to 842,326,836,624.76, 1,263,445,755,557.90 and 276,289,962,860.92
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Solution
The fourth proportional to 842,326,836,624.76, 1,263,445,755,557.90 and 276,289,962,860.92 is: 414,420,348,137.84
Step by Step Solution
- Step 1: Write the proportion equation
842,326,836,624.76 : 1,263,445,755,557.90 = 276,289,962,860.92 : x - Step 2: Convert to fraction form
842,326,836,624.76/1,263,445,755,557.90 = 276,289,962,860.92/x - Step 3: Cross multiply
842,326,836,624.76x = 1,263,445,755,557.90 × 276,289,962,860.92 - Step 4: Simplify right side
842,326,836,624.76x = 349,077,380,879,879,149,453,312 - Step 5: Solve for x
x = 349,077,380,879,879,149,453,312/842,326,836,624.76 - Step 6: Final answer
x = 414,420,348,137.84
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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.