Finding the Fourth Proportional to 379,685,452,087.38, 523,966,442,746.85 and 206,070,594,210.08
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Solution
The fourth proportional to 379,685,452,087.38, 523,966,442,746.85 and 206,070,594,210.08 is: 284,377,701,619.54
Step by Step Solution
- Step 1: Write the proportion equation
379,685,452,087.38 : 523,966,442,746.85 = 206,070,594,210.08 : x - Step 2: Convert to fraction form
379,685,452,087.38/523,966,442,746.85 = 206,070,594,210.08/x - Step 3: Cross multiply
379,685,452,087.38x = 523,966,442,746.85 × 206,070,594,210.08 - Step 4: Simplify right side
379,685,452,087.38x = 107,974,076,202,985,233,317,888 - Step 5: Solve for x
x = 107,974,076,202,985,233,317,888/379,685,452,087.38 - Step 6: Final answer
x = 284,377,701,619.54
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.