Finding the Fourth Proportional to 398,596,117.80, 597,894,176.70 and 398,596,117.80
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Solution
The fourth proportional to 398,596,117.80, 597,894,176.70 and 398,596,117.80 is: 597,894,176.70
Step by Step Solution
- Step 1: Write the proportion equation
398,596,117.80 : 597,894,176.70 = 398,596,117.80 : x - Step 2: Convert to fraction form
398,596,117.80/597,894,176.70 = 398,596,117.80/x - Step 3: Cross multiply
398,596,117.80x = 597,894,176.70 × 398,596,117.80 - Step 4: Simplify right side
398,596,117.80x = 238,318,297,687,847,232 - Step 5: Solve for x
x = 238,318,297,687,847,232/398,596,117.80 - Step 6: Final answer
x = 597,894,176.70
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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.