Finding the Fourth Proportional to 298,639,224,152.70, 447,958,836,229.05 and 298,639,224,152.70
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Solution
The fourth proportional to 298,639,224,152.70, 447,958,836,229.05 and 298,639,224,152.70 is: 447,958,836,229.05
Step by Step Solution
- Step 1: Write the proportion equation
298,639,224,152.70 : 447,958,836,229.05 = 298,639,224,152.70 : x - Step 2: Convert to fraction form
298,639,224,152.70/447,958,836,229.05 = 298,639,224,152.70/x - Step 3: Cross multiply
298,639,224,152.70x = 447,958,836,229.05 × 298,639,224,152.70 - Step 4: Simplify right side
298,639,224,152.70x = 133,778,079,303,789,893,910,528 - Step 5: Solve for x
x = 133,778,079,303,789,893,910,528/298,639,224,152.70 - Step 6: Final answer
x = 447,958,836,229.05
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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.