Finding the Fourth Proportional to 24,872,306,714.76, 34,319,947,794.48 and 14,166,062,564.26
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Solution
The fourth proportional to 24,872,306,714.76, 34,319,947,794.48 and 14,166,062,564.26 is: 19,546,981,839.45
Step by Step Solution
- Step 1: Write the proportion equation
24,872,306,714.76 : 34,319,947,794.48 = 14,166,062,564.26 : x - Step 2: Convert to fraction form
24,872,306,714.76/34,319,947,794.48 = 14,166,062,564.26/x - Step 3: Cross multiply
24,872,306,714.76x = 34,319,947,794.48 × 14,166,062,564.26 - Step 4: Simplify right side
24,872,306,714.76x = 486,178,527,658,740,678,656 - Step 5: Solve for x
x = 486,178,527,658,740,678,656/24,872,306,714.76 - Step 6: Final answer
x = 19,546,981,839.45
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1.5x scale
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.