Finding the Fourth Proportional to 1,023,988,463.08, 1,535,396,013.04 and 314,752,327.44
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Solution
The fourth proportional to 1,023,988,463.08, 1,535,396,013.04 and 314,752,327.44 is: 471,948,157.69
Step by Step Solution
- Step 1: Write the proportion equation
1,023,988,463.08 : 1,535,396,013.04 = 314,752,327.44 : x - Step 2: Convert to fraction form
1,023,988,463.08/1,535,396,013.04 = 314,752,327.44/x - Step 3: Cross multiply
1,023,988,463.08x = 1,535,396,013.04 × 314,752,327.44 - Step 4: Simplify right side
1,023,988,463.08x = 483,269,468,646,436,544 - Step 5: Solve for x
x = 483,269,468,646,436,544/1,023,988,463.08 - Step 6: Final answer
x = 471,948,157.69
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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.