Finding the Fourth Proportional to 1,967,352,282.44, 2,949,212,397.16 and 983,923,059.32
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Solution
The fourth proportional to 1,967,352,282.44, 2,949,212,397.16 and 983,923,059.32 is: 1,474,976,347.80
Step by Step Solution
- Step 1: Write the proportion equation
1,967,352,282.44 : 2,949,212,397.16 = 983,923,059.32 : x - Step 2: Convert to fraction form
1,967,352,282.44/2,949,212,397.16 = 983,923,059.32/x - Step 3: Cross multiply
1,967,352,282.44x = 2,949,212,397.16 × 983,923,059.32 - Step 4: Simplify right side
1,967,352,282.44x = 2,901,798,084,398,137,856 - Step 5: Solve for x
x = 2,901,798,084,398,137,856/1,967,352,282.44 - Step 6: Final answer
x = 1,474,976,347.80
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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.