Finding the Fourth Proportional to 32,596,183,357.10, 48,894,214,007.42 and 10,213,645,193.44
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Solution
The fourth proportional to 32,596,183,357.10, 48,894,214,007.42 and 10,213,645,193.44 is: 15,320,448,667.65
Step by Step Solution
- Step 1: Write the proportion equation
32,596,183,357.10 : 48,894,214,007.42 = 10,213,645,193.44 : x - Step 2: Convert to fraction form
32,596,183,357.10/48,894,214,007.42 = 10,213,645,193.44/x - Step 3: Cross multiply
32,596,183,357.10x = 48,894,214,007.42 × 10,213,645,193.44 - Step 4: Simplify right side
32,596,183,357.10x = 499,388,153,883,911,979,008 - Step 5: Solve for x
x = 499,388,153,883,911,979,008/32,596,183,357.10 - Step 6: Final answer
x = 15,320,448,667.65
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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.