Finding the Fourth Proportional to 97,785,467,532.80, 146,678,201,299.20 and 97,785,467,532.80
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Solution
The fourth proportional to 97,785,467,532.80, 146,678,201,299.20 and 97,785,467,532.80 is: 146,678,201,299.20
Step by Step Solution
- Step 1: Write the proportion equation
97,785,467,532.80 : 146,678,201,299.20 = 97,785,467,532.80 : x - Step 2: Convert to fraction form
97,785,467,532.80/146,678,201,299.20 = 97,785,467,532.80/x - Step 3: Cross multiply
97,785,467,532.80x = 146,678,201,299.20 × 97,785,467,532.80 - Step 4: Simplify right side
97,785,467,532.80x = 14,342,996,490,912,425,574,400 - Step 5: Solve for x
x = 14,342,996,490,912,425,574,400/97,785,467,532.80 - Step 6: Final answer
x = 146,678,201,299.20
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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.