Finding the Fourth Proportional to 20,049,709,067,832, 30,074,526,061,418 and 6,282,349,732,739.60
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Solution
The fourth proportional to 20,049,709,067,832, 30,074,526,061,418 and 6,282,349,732,739.60 is: 9,423,512,836,271.28
Step by Step Solution
- Step 1: Write the proportion equation
20,049,709,067,832 : 30,074,526,061,418 = 6,282,349,732,739.60 : x - Step 2: Convert to fraction form
20,049,709,067,832/30,074,526,061,418 = 6,282,349,732,739.60/x - Step 3: Cross multiply
20,049,709,067,832x = 30,074,526,061,418 × 6,282,349,732,739.60 - Step 4: Simplify right side
20,049,709,067,832x = 188,938,690,764,219,486,281,138,176 - Step 5: Solve for x
x = 188,938,690,764,219,486,281,138,176/20,049,709,067,832 - Step 6: Final answer
x = 9,423,512,836,271.28
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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.