Finding the Fourth Proportional to 285,368,367,607.24, 427,769,807,690.94 and 134,003,711,284.06
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Solution
The fourth proportional to 285,368,367,607.24, 427,769,807,690.94 and 134,003,711,284.06 is: 200,872,795,700.85
Step by Step Solution
- Step 1: Write the proportion equation
285,368,367,607.24 : 427,769,807,690.94 = 134,003,711,284.06 : x - Step 2: Convert to fraction form
285,368,367,607.24/427,769,807,690.94 = 134,003,711,284.06/x - Step 3: Cross multiply
285,368,367,607.24x = 427,769,807,690.94 × 134,003,711,284.06 - Step 4: Simplify right side
285,368,367,607.24x = 57,322,741,805,854,589,190,144 - Step 5: Solve for x
x = 57,322,741,805,854,589,190,144/285,368,367,607.24 - Step 6: Final answer
x = 200,872,795,700.85
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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.