Finding the Fourth Proportional to 176,365,512,074.70, 264,548,268,112.05 and 158,182,577,124.30
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Solution
The fourth proportional to 176,365,512,074.70, 264,548,268,112.05 and 158,182,577,124.30 is: 237,273,865,686.45
Step by Step Solution
- Step 1: Write the proportion equation
176,365,512,074.70 : 264,548,268,112.05 = 158,182,577,124.30 : x - Step 2: Convert to fraction form
176,365,512,074.70/264,548,268,112.05 = 158,182,577,124.30/x - Step 3: Cross multiply
176,365,512,074.70x = 264,548,268,112.05 × 158,182,577,124.30 - Step 4: Simplify right side
176,365,512,074.70x = 41,846,926,823,734,334,455,808 - Step 5: Solve for x
x = 41,846,926,823,734,334,455,808/176,365,512,074.70 - Step 6: Final answer
x = 237,273,865,686.45
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1.5x scale
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.