Finding the Fourth Proportional to 16,644,702,448.68, 24,967,053,190.52 and 7,678,238,825.84
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Solution
The fourth proportional to 16,644,702,448.68, 24,967,053,190.52 and 7,678,238,825.84 is: 11,517,358,016.18
Step by Step Solution
- Step 1: Write the proportion equation
16,644,702,448.68 : 24,967,053,190.52 = 7,678,238,825.84 : x - Step 2: Convert to fraction form
16,644,702,448.68/24,967,053,190.52 = 7,678,238,825.84/x - Step 3: Cross multiply
16,644,702,448.68x = 24,967,053,190.52 × 7,678,238,825.84 - Step 4: Simplify right side
16,644,702,448.68x = 191,702,997,174,263,119,872 - Step 5: Solve for x
x = 191,702,997,174,263,119,872/16,644,702,448.68 - Step 6: Final answer
x = 11,517,358,016.18
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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.