Finding the Fourth Proportional to 4,689,231,745,917.60, 6,471,296,766,873 and 2,605,941,226,453.50
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Solution
The fourth proportional to 4,689,231,745,917.60, 6,471,296,766,873 and 2,605,941,226,453.50 is: 3,596,286,118,315.88
Step by Step Solution
- Step 1: Write the proportion equation
4,689,231,745,917.60 : 6,471,296,766,873 = 2,605,941,226,453.50 : x - Step 2: Convert to fraction form
4,689,231,745,917.60/6,471,296,766,873 = 2,605,941,226,453.50/x - Step 3: Cross multiply
4,689,231,745,917.60x = 6,471,296,766,873 × 2,605,941,226,453.50 - Step 4: Simplify right side
4,689,231,745,917.60x = 16,863,819,033,409,594,658,390,016 - Step 5: Solve for x
x = 16,863,819,033,409,594,658,390,016/4,689,231,745,917.60 - Step 6: Final answer
x = 3,596,286,118,315.88
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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.