Finding the Fourth Proportional to 65,192,366,714.20, 97,788,428,014.84 and 20,427,290,386.88
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Solution
The fourth proportional to 65,192,366,714.20, 97,788,428,014.84 and 20,427,290,386.88 is: 30,640,897,335.31
Step by Step Solution
- Step 1: Write the proportion equation
65,192,366,714.20 : 97,788,428,014.84 = 20,427,290,386.88 : x - Step 2: Convert to fraction form
65,192,366,714.20/97,788,428,014.84 = 20,427,290,386.88/x - Step 3: Cross multiply
65,192,366,714.20x = 97,788,428,014.84 × 20,427,290,386.88 - Step 4: Simplify right side
65,192,366,714.20x = 1,997,552,615,535,647,916,032 - Step 5: Solve for x
x = 1,997,552,615,535,647,916,032/65,192,366,714.20 - Step 6: Final answer
x = 30,640,897,335.31
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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.