Finding the Fourth Proportional to 168,212,418,805.53, 252,319,275,168.66 and 40,726,898,193.74
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Solution
The fourth proportional to 168,212,418,805.53, 252,319,275,168.66 and 40,726,898,193.74 is: 61,090,503,929.98
Step by Step Solution
- Step 1: Write the proportion equation
168,212,418,805.53 : 252,319,275,168.66 = 40,726,898,193.74 : x - Step 2: Convert to fraction form
168,212,418,805.53/252,319,275,168.66 = 40,726,898,193.74/x - Step 3: Cross multiply
168,212,418,805.53x = 252,319,275,168.66 × 40,726,898,193.74 - Step 4: Simplify right side
168,212,418,805.53x = 10,276,181,432,111,275,704,320 - Step 5: Solve for x
x = 10,276,181,432,111,275,704,320/168,212,418,805.53 - Step 6: Final answer
x = 61,090,503,929.98
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1.5x scale
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.