Finding the Fourth Proportional to 327,456,823.80, 491,185,235.70 and 163,719,851.70
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Solution
The fourth proportional to 327,456,823.80, 491,185,235.70 and 163,719,851.70 is: 245,579,777.55
Step by Step Solution
- Step 1: Write the proportion equation
327,456,823.80 : 491,185,235.70 = 163,719,851.70 : x - Step 2: Convert to fraction form
327,456,823.80/491,185,235.70 = 163,719,851.70/x - Step 3: Cross multiply
327,456,823.80x = 491,185,235.70 × 163,719,851.70 - Step 4: Simplify right side
327,456,823.80x = 80,416,773,946,033,536 - Step 5: Solve for x
x = 80,416,773,946,033,536/327,456,823.80 - Step 6: Final answer
x = 245,579,777.55
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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.