Finding the Fourth Proportional to 42,300,165,416,874, 63,479,231,305,856 and 14,763,338,832,725
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Solution
The fourth proportional to 42,300,165,416,874, 63,479,231,305,856 and 14,763,338,832,725 is: 22,155,123,777,256.69
Step by Step Solution
- Step 1: Write the proportion equation
42,300,165,416,874 : 63,479,231,305,856 = 14,763,338,832,725 : x - Step 2: Convert to fraction form
42,300,165,416,874/63,479,231,305,856 = 14,763,338,832,725/x - Step 3: Cross multiply
42,300,165,416,874x = 63,479,231,305,856 × 14,763,338,832,725 - Step 4: Simplify right side
42,300,165,416,874x = 937,165,400,609,276,362,647,142,400 - Step 5: Solve for x
x = 937,165,400,609,276,362,647,142,400/42,300,165,416,874 - Step 6: Final answer
x = 22,155,123,777,256.69
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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.