Finding the Fourth Proportional to 4,197,129,214.80, 6,295,693,822.20 and 1,742,202,469.20
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Solution
The fourth proportional to 4,197,129,214.80, 6,295,693,822.20 and 1,742,202,469.20 is: 2,613,303,703.80
Step by Step Solution
- Step 1: Write the proportion equation
4,197,129,214.80 : 6,295,693,822.20 = 1,742,202,469.20 : x - Step 2: Convert to fraction form
4,197,129,214.80/6,295,693,822.20 = 1,742,202,469.20/x - Step 3: Cross multiply
4,197,129,214.80x = 6,295,693,822.20 × 1,742,202,469.20 - Step 4: Simplify right side
4,197,129,214.80x = 10,968,373,322,364,024,832 - Step 5: Solve for x
x = 10,968,373,322,364,024,832/4,197,129,214.80 - Step 6: Final answer
x = 2,613,303,703.80
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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.