Finding the Fourth Proportional to 7,484,284,707,077.10, 11,207,092,604,555 and 5,165,396,843,947.20
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Solution
The fourth proportional to 7,484,284,707,077.10, 11,207,092,604,555 and 5,165,396,843,947.20 is: 7,734,751,286,873.52
Step by Step Solution
- Step 1: Write the proportion equation
7,484,284,707,077.10 : 11,207,092,604,555 = 5,165,396,843,947.20 : x - Step 2: Convert to fraction form
7,484,284,707,077.10/11,207,092,604,555 = 5,165,396,843,947.20/x - Step 3: Cross multiply
7,484,284,707,077.10x = 11,207,092,604,555 × 5,165,396,843,947.20 - Step 4: Simplify right side
7,484,284,707,077.10x = 57,889,080,769,392,404,416,430,080 - Step 5: Solve for x
x = 57,889,080,769,392,404,416,430,080/7,484,284,707,077.10 - Step 6: Final answer
x = 7,734,751,286,873.52
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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.