Finding the Fourth Proportional to 5,657,990,647.58, 7,807,675,284.10 and 3,117,530,448.12
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Solution
The fourth proportional to 5,657,990,647.58, 7,807,675,284.10 and 3,117,530,448.12 is: 4,301,998,172.73
Step by Step Solution
- Step 1: Write the proportion equation
5,657,990,647.58 : 7,807,675,284.10 = 3,117,530,448.12 : x - Step 2: Convert to fraction form
5,657,990,647.58/7,807,675,284.10 = 3,117,530,448.12/x - Step 3: Cross multiply
5,657,990,647.58x = 7,807,675,284.10 × 3,117,530,448.12 - Step 4: Simplify right side
5,657,990,647.58x = 24,340,665,427,215,720,448 - Step 5: Solve for x
x = 24,340,665,427,215,720,448/5,657,990,647.58 - Step 6: Final answer
x = 4,301,998,172.73
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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.