Finding the Fourth Proportional to 7,413,135,424.12, 10,230,326,662.14 and 4,361,524,717.32
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Solution
The fourth proportional to 7,413,135,424.12, 10,230,326,662.14 and 4,361,524,717.32 is: 6,019,021,648.79
Step by Step Solution
- Step 1: Write the proportion equation
7,413,135,424.12 : 10,230,326,662.14 = 4,361,524,717.32 : x - Step 2: Convert to fraction form
7,413,135,424.12/10,230,326,662.14 = 4,361,524,717.32/x - Step 3: Cross multiply
7,413,135,424.12x = 10,230,326,662.14 × 4,361,524,717.32 - Step 4: Simplify right side
7,413,135,424.12x = 44,619,822,603,181,416,448 - Step 5: Solve for x
x = 44,619,822,603,181,416,448/7,413,135,424.12 - Step 6: Final answer
x = 6,019,021,648.79
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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.