Finding the Fourth Proportional to 3,024,233,165.20, 4,536,349,747.80 and 2,507,672,513.20
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Solution
The fourth proportional to 3,024,233,165.20, 4,536,349,747.80 and 2,507,672,513.20 is: 3,761,508,769.80
Step by Step Solution
- Step 1: Write the proportion equation
3,024,233,165.20 : 4,536,349,747.80 = 2,507,672,513.20 : x - Step 2: Convert to fraction form
3,024,233,165.20/4,536,349,747.80 = 2,507,672,513.20/x - Step 3: Cross multiply
3,024,233,165.20x = 4,536,349,747.80 × 2,507,672,513.20 - Step 4: Simplify right side
3,024,233,165.20x = 11,375,679,572,819,812,352 - Step 5: Solve for x
x = 11,375,679,572,819,812,352/3,024,233,165.20 - Step 6: Final answer
x = 3,761,508,769.80
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1.5x scale
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.