Finding the Fourth Proportional to 97,785,471,161.60, 146,678,206,742.40 and 97,785,471,161.60
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Solution
The fourth proportional to 97,785,471,161.60, 146,678,206,742.40 and 97,785,471,161.60 is: 146,678,206,742.40
Step by Step Solution
- Step 1: Write the proportion equation
97,785,471,161.60 : 146,678,206,742.40 = 97,785,471,161.60 : x - Step 2: Convert to fraction form
97,785,471,161.60/146,678,206,742.40 = 97,785,471,161.60/x - Step 3: Cross multiply
97,785,471,161.60x = 146,678,206,742.40 × 97,785,471,161.60 - Step 4: Simplify right side
97,785,471,161.60x = 14,342,997,555,444,157,775,872 - Step 5: Solve for x
x = 14,342,997,555,444,157,775,872/97,785,471,161.60 - Step 6: Final answer
x = 146,678,206,742.40
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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.