Finding the Fourth Proportional to 209,916,288,129.20, 314,874,432,193.80 and 209,916,288,129.20
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Solution
The fourth proportional to 209,916,288,129.20, 314,874,432,193.80 and 209,916,288,129.20 is: 314,874,432,193.80
Step by Step Solution
- Step 1: Write the proportion equation
209,916,288,129.20 : 314,874,432,193.80 = 209,916,288,129.20 : x - Step 2: Convert to fraction form
209,916,288,129.20/314,874,432,193.80 = 209,916,288,129.20/x - Step 3: Cross multiply
209,916,288,129.20x = 314,874,432,193.80 × 209,916,288,129.20 - Step 4: Simplify right side
209,916,288,129.20x = 66,097,272,032,911,972,892,672 - Step 5: Solve for x
x = 66,097,272,032,911,972,892,672/209,916,288,129.20 - Step 6: Final answer
x = 314,874,432,193.80
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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.