Finding the Fourth Proportional to 278,522,864.70, 417,784,297.05 and 149,382,701.70
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Solution
The fourth proportional to 278,522,864.70, 417,784,297.05 and 149,382,701.70 is: 224,074,052.55
Step by Step Solution
- Step 1: Write the proportion equation
278,522,864.70 : 417,784,297.05 = 149,382,701.70 : x - Step 2: Convert to fraction form
278,522,864.70/417,784,297.05 = 149,382,701.70/x - Step 3: Cross multiply
278,522,864.70x = 417,784,297.05 × 149,382,701.70 - Step 4: Simplify right side
278,522,864.70x = 62,409,747,021,164,336 - Step 5: Solve for x
x = 62,409,747,021,164,336/278,522,864.70 - Step 6: Final answer
x = 224,074,052.55
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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.