Finding the Fourth Proportional to 12,300,782,713.38, 18,457,891,200 and 5,217,163,765.20
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Solution
The fourth proportional to 12,300,782,713.38, 18,457,891,200 and 5,217,163,765.20 is: 7,828,594,602.02
Step by Step Solution
- Step 1: Write the proportion equation
12,300,782,713.38 : 18,457,891,200 = 5,217,163,765.20 : x - Step 2: Convert to fraction form
12,300,782,713.38/18,457,891,200 = 5,217,163,765.20/x - Step 3: Cross multiply
12,300,782,713.38x = 18,457,891,200 × 5,217,163,765.20 - Step 4: Simplify right side
12,300,782,713.38x = 96,297,841,150,643,945,472 - Step 5: Solve for x
x = 96,297,841,150,643,945,472/12,300,782,713.38 - Step 6: Final answer
x = 7,828,594,602.02
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.