Finding the Fourth Proportional to 2,270,509,318.20, 3,405,763,977.30 and 1,658,289,286.20
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Solution
The fourth proportional to 2,270,509,318.20, 3,405,763,977.30 and 1,658,289,286.20 is: 2,487,433,929.30
Step by Step Solution
- Step 1: Write the proportion equation
2,270,509,318.20 : 3,405,763,977.30 = 1,658,289,286.20 : x - Step 2: Convert to fraction form
2,270,509,318.20/3,405,763,977.30 = 1,658,289,286.20/x - Step 3: Cross multiply
2,270,509,318.20x = 3,405,763,977.30 × 1,658,289,286.20 - Step 4: Simplify right side
2,270,509,318.20x = 5,647,741,914,882,490,368 - Step 5: Solve for x
x = 5,647,741,914,882,490,368/2,270,509,318.20 - Step 6: Final answer
x = 2,487,433,929.30
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1.5x scale
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.