Finding the Fourth Proportional to 582,201,326,490.95, 873,319,780,915.50 and 199,740,036,933.75
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Solution
The fourth proportional to 582,201,326,490.95, 873,319,780,915.50 and 199,740,036,933.75 is: 299,616,159,149.63
Step by Step Solution
- Step 1: Write the proportion equation
582,201,326,490.95 : 873,319,780,915.50 = 199,740,036,933.75 : x - Step 2: Convert to fraction form
582,201,326,490.95/873,319,780,915.50 = 199,740,036,933.75/x - Step 3: Cross multiply
582,201,326,490.95x = 873,319,780,915.50 × 199,740,036,933.75 - Step 4: Simplify right side
582,201,326,490.95x = 174,436,925,295,036,431,597,568 - Step 5: Solve for x
x = 174,436,925,295,036,431,597,568/582,201,326,490.95 - Step 6: Final answer
x = 299,616,159,149.63
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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.