Finding the Fourth Proportional to 4,275,762,023,119.60, 5,900,763,588,390.40 and 2,652,315,206,014
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Solution
The fourth proportional to 4,275,762,023,119.60, 5,900,763,588,390.40 and 2,652,315,206,014 is: 3,660,326,488,695.19
Step by Step Solution
- Step 1: Write the proportion equation
4,275,762,023,119.60 : 5,900,763,588,390.40 = 2,652,315,206,014 : x - Step 2: Convert to fraction form
4,275,762,023,119.60/5,900,763,588,390.40 = 2,652,315,206,014/x - Step 3: Cross multiply
4,275,762,023,119.60x = 5,900,763,588,390.40 × 2,652,315,206,014 - Step 4: Simplify right side
4,275,762,023,119.60x = 15,650,684,992,581,594,647,625,728 - Step 5: Solve for x
x = 15,650,684,992,581,594,647,625,728/4,275,762,023,119.60 - Step 6: Final answer
x = 3,660,326,488,695.19
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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.