Finding the Fourth Proportional to 7,484,284,707,110.40, 11,207,092,604,605 and 5,165,396,843,980.90
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Solution
The fourth proportional to 7,484,284,707,110.40, 11,207,092,604,605 and 5,165,396,843,980.90 is: 7,734,751,286,924.08
Step by Step Solution
- Step 1: Write the proportion equation
7,484,284,707,110.40 : 11,207,092,604,605 = 5,165,396,843,980.90 : x - Step 2: Convert to fraction form
7,484,284,707,110.40/11,207,092,604,605 = 5,165,396,843,980.90/x - Step 3: Cross multiply
7,484,284,707,110.40x = 11,207,092,604,605 × 5,165,396,843,980.90 - Step 4: Simplify right side
7,484,284,707,110.40x = 57,889,080,770,028,351,634,014,208 - Step 5: Solve for x
x = 57,889,080,770,028,351,634,014,208/7,484,284,707,110.40 - Step 6: Final answer
x = 7,734,751,286,924.08
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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.