Finding the Fourth Proportional to 2,004,175,782.24, 3,005,280,135.60 and 823,542,378
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Solution
The fourth proportional to 2,004,175,782.24, 3,005,280,135.60 and 823,542,378 is: 1,234,909,418.31
Step by Step Solution
- Step 1: Write the proportion equation
2,004,175,782.24 : 3,005,280,135.60 = 823,542,378 : x - Step 2: Convert to fraction form
2,004,175,782.24/3,005,280,135.60 = 823,542,378/x - Step 3: Cross multiply
2,004,175,782.24x = 3,005,280,135.60 × 823,542,378 - Step 4: Simplify right side
2,004,175,782.24x = 2,474,975,549,428,186,624 - Step 5: Solve for x
x = 2,474,975,549,428,186,624/2,004,175,782.24 - Step 6: Final answer
x = 1,234,909,418.31
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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.