Finding the Fourth Proportional to 2,477,659,782.78, 3,419,260,714.14 and 1,348,574,972.84
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Solution
The fourth proportional to 2,477,659,782.78, 3,419,260,714.14 and 1,348,574,972.84 is: 1,861,082,565.39
Step by Step Solution
- Step 1: Write the proportion equation
2,477,659,782.78 : 3,419,260,714.14 = 1,348,574,972.84 : x - Step 2: Convert to fraction form
2,477,659,782.78/3,419,260,714.14 = 1,348,574,972.84/x - Step 3: Cross multiply
2,477,659,782.78x = 3,419,260,714.14 × 1,348,574,972.84 - Step 4: Simplify right side
2,477,659,782.78x = 4,611,129,424,695,136,768 - Step 5: Solve for x
x = 4,611,129,424,695,136,768/2,477,659,782.78 - Step 6: Final answer
x = 1,861,082,565.39
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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.