Finding the Fourth Proportional to 4,655,291,286.70, 6,982,936,930.05 and 4,150,209,760.30
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Solution
The fourth proportional to 4,655,291,286.70, 6,982,936,930.05 and 4,150,209,760.30 is: 6,225,314,640.45
Step by Step Solution
- Step 1: Write the proportion equation
4,655,291,286.70 : 6,982,936,930.05 = 4,150,209,760.30 : x - Step 2: Convert to fraction form
4,655,291,286.70/6,982,936,930.05 = 4,150,209,760.30/x - Step 3: Cross multiply
4,655,291,286.70x = 6,982,936,930.05 × 4,150,209,760.30 - Step 4: Simplify right side
4,655,291,286.70x = 28,980,653,002,652,831,744 - Step 5: Solve for x
x = 28,980,653,002,652,831,744/4,655,291,286.70 - Step 6: Final answer
x = 6,225,314,640.45
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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.