Finding the Fourth Proportional to 2,135,296,500.40, 3,202,944,750.60 and 1,314,748,097.20
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Solution
The fourth proportional to 2,135,296,500.40, 3,202,944,750.60 and 1,314,748,097.20 is: 1,972,122,145.80
Step by Step Solution
- Step 1: Write the proportion equation
2,135,296,500.40 : 3,202,944,750.60 = 1,314,748,097.20 : x - Step 2: Convert to fraction form
2,135,296,500.40/3,202,944,750.60 = 1,314,748,097.20/x - Step 3: Cross multiply
2,135,296,500.40x = 3,202,944,750.60 × 1,314,748,097.20 - Step 4: Simplify right side
2,135,296,500.40x = 4,211,065,516,288,078,336 - Step 5: Solve for x
x = 4,211,065,516,288,078,336/2,135,296,500.40 - Step 6: Final answer
x = 1,972,122,145.80
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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.