Finding the Fourth Proportional to 12,180,232,500,444, 18,277,863,694,534 and 5,644,396,235,226.70
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Solution
The fourth proportional to 12,180,232,500,444, 18,277,863,694,534 and 5,644,396,235,226.70 is: 8,470,076,825,023.97
Step by Step Solution
- Step 1: Write the proportion equation
12,180,232,500,444 : 18,277,863,694,534 = 5,644,396,235,226.70 : x - Step 2: Convert to fraction form
12,180,232,500,444/18,277,863,694,534 = 5,644,396,235,226.70/x - Step 3: Cross multiply
12,180,232,500,444x = 18,277,863,694,534 × 5,644,396,235,226.70 - Step 4: Simplify right side
12,180,232,500,444x = 103,167,505,025,414,501,706,498,048 - Step 5: Solve for x
x = 103,167,505,025,414,501,706,498,048/12,180,232,500,444 - Step 6: Final answer
x = 8,470,076,825,023.97
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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.