Finding the Fourth Proportional to 48,624,587,115,018, 67,101,930,218,742 and 27,814,301,791,002
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Solution
The fourth proportional to 48,624,587,115,018, 67,101,930,218,742 and 27,814,301,791,002 is: 38,383,736,471,592.58
Step by Step Solution
- Step 1: Write the proportion equation
48,624,587,115,018 : 67,101,930,218,742 = 27,814,301,791,002 : x - Step 2: Convert to fraction form
48,624,587,115,018/67,101,930,218,742 = 27,814,301,791,002/x - Step 3: Cross multiply
48,624,587,115,018x = 67,101,930,218,742 × 27,814,301,791,002 - Step 4: Simplify right side
48,624,587,115,018x = 1,866,393,337,862,846,862,380,236,800 - Step 5: Solve for x
x = 1,866,393,337,862,846,862,380,236,800/48,624,587,115,018 - Step 6: Final answer
x = 38,383,736,471,592.58
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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.