Finding the Fourth Proportional to 27,649,750,257, 38,144,495,974.86 and 16,212,481,212.60
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Solution
The fourth proportional to 27,649,750,257, 38,144,495,974.86 and 16,212,481,212.60 is: 22,366,094,398.99
Step by Step Solution
- Step 1: Write the proportion equation
27,649,750,257 : 38,144,495,974.86 = 16,212,481,212.60 : x - Step 2: Convert to fraction form
27,649,750,257/38,144,495,974.86 = 16,212,481,212.60/x - Step 3: Cross multiply
27,649,750,257x = 38,144,495,974.86 × 16,212,481,212.60 - Step 4: Simplify right side
27,649,750,257x = 618,416,924,356,514,152,448 - Step 5: Solve for x
x = 618,416,924,356,514,152,448/27,649,750,257 - Step 6: Final answer
x = 22,366,094,398.99
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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.