Finding the Fourth Proportional to 50,896,786,605,100, 76,345,180,916,556 and 12,216,799,750,116
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Solution
The fourth proportional to 50,896,786,605,100, 76,345,180,916,556 and 12,216,799,750,116 is: 18,325,199,867,342.58
Step by Step Solution
- Step 1: Write the proportion equation
50,896,786,605,100 : 76,345,180,916,556 = 12,216,799,750,116 : x - Step 2: Convert to fraction form
50,896,786,605,100/76,345,180,916,556 = 12,216,799,750,116/x - Step 3: Cross multiply
50,896,786,605,100x = 76,345,180,916,556 × 12,216,799,750,116 - Step 4: Simplify right side
50,896,786,605,100x = 932,693,787,143,942,094,928,740,352 - Step 5: Solve for x
x = 932,693,787,143,942,094,928,740,352/50,896,786,605,100 - Step 6: Final answer
x = 18,325,199,867,342.58
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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.