Finding the Fourth Proportional to 16,085,121,024.68, 22,197,667,836.16 and 8,852,000,676.30
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Solution
The fourth proportional to 16,085,121,024.68, 22,197,667,836.16 and 8,852,000,676.30 is: 12,215,871,450.17
Step by Step Solution
- Step 1: Write the proportion equation
16,085,121,024.68 : 22,197,667,836.16 = 8,852,000,676.30 : x - Step 2: Convert to fraction form
16,085,121,024.68/22,197,667,836.16 = 8,852,000,676.30/x - Step 3: Cross multiply
16,085,121,024.68x = 22,197,667,836.16 × 8,852,000,676.30 - Step 4: Simplify right side
16,085,121,024.68x = 196,493,770,697,971,073,024 - Step 5: Solve for x
x = 196,493,770,697,971,073,024/16,085,121,024.68 - Step 6: Final answer
x = 12,215,871,450.17
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1.5x scale
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.