Finding the Fourth Proportional to 6,177,386,958,080.80, 8,524,795,393,634.90 and 3,399,549,189,304
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Solution
The fourth proportional to 6,177,386,958,080.80, 8,524,795,393,634.90 and 3,399,549,189,304 is: 4,691,378,647,002.83
Step by Step Solution
- Step 1: Write the proportion equation
6,177,386,958,080.80 : 8,524,795,393,634.90 = 3,399,549,189,304 : x - Step 2: Convert to fraction form
6,177,386,958,080.80/8,524,795,393,634.90 = 3,399,549,189,304/x - Step 3: Cross multiply
6,177,386,958,080.80x = 8,524,795,393,634.90 × 3,399,549,189,304 - Step 4: Simplify right side
6,177,386,958,080.80x = 28,980,461,269,413,998,673,002,496 - Step 5: Solve for x
x = 28,980,461,269,413,998,673,002,496/6,177,386,958,080.80 - Step 6: Final answer
x = 4,691,378,647,002.83
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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.