Finding the Fourth Proportional to 10,501,694,496.24, 14,489,192,148.12 and 6,046,244,317.68
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Solution
The fourth proportional to 10,501,694,496.24, 14,489,192,148.12 and 6,046,244,317.68 is: 8,342,005,732.95
Step by Step Solution
- Step 1: Write the proportion equation
10,501,694,496.24 : 14,489,192,148.12 = 6,046,244,317.68 : x - Step 2: Convert to fraction form
10,501,694,496.24/14,489,192,148.12 = 6,046,244,317.68/x - Step 3: Cross multiply
10,501,694,496.24x = 14,489,192,148.12 × 6,046,244,317.68 - Step 4: Simplify right side
10,501,694,496.24x = 87,605,195,693,344,227,328 - Step 5: Solve for x
x = 87,605,195,693,344,227,328/10,501,694,496.24 - Step 6: Final answer
x = 8,342,005,732.95
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.