Finding the Fourth Proportional to 45,811,587,906,442, 68,728,303,441,686 and 14,832,667,334,782
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Solution
The fourth proportional to 45,811,587,906,442, 68,728,303,441,686 and 14,832,667,334,782 is: 22,252,537,142,270.29
Step by Step Solution
- Step 1: Write the proportion equation
45,811,587,906,442 : 68,728,303,441,686 = 14,832,667,334,782 : x - Step 2: Convert to fraction form
45,811,587,906,442/68,728,303,441,686 = 14,832,667,334,782/x - Step 3: Cross multiply
45,811,587,906,442x = 68,728,303,441,686 × 14,832,667,334,782 - Step 4: Simplify right side
45,811,587,906,442x = 1,019,424,061,434,481,196,067,192,832 - Step 5: Solve for x
x = 1,019,424,061,434,481,196,067,192,832/45,811,587,906,442 - Step 6: Final answer
x = 22,252,537,142,270.29
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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.