Finding the Fourth Proportional to 5,565,318,678,233, 8,349,185,665,351.50 and 1,692,851,794,504.80
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Solution
The fourth proportional to 5,565,318,678,233, 8,349,185,665,351.50 and 1,692,851,794,504.80 is: 2,539,645,032,641.98
Step by Step Solution
- Step 1: Write the proportion equation
5,565,318,678,233 : 8,349,185,665,351.50 = 1,692,851,794,504.80 : x - Step 2: Convert to fraction form
5,565,318,678,233/8,349,185,665,351.50 = 1,692,851,794,504.80/x - Step 3: Cross multiply
5,565,318,678,233x = 8,349,185,665,351.50 × 1,692,851,794,504.80 - Step 4: Simplify right side
5,565,318,678,233x = 14,133,933,936,244,040,103,100,416 - Step 5: Solve for x
x = 14,133,933,936,244,040,103,100,416/5,565,318,678,233 - Step 6: Final answer
x = 2,539,645,032,641.98
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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.