Finding the Fourth Proportional to 203,778,102,335.10, 305,667,153,502.65 and 54,733,135,544.70
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Solution
The fourth proportional to 203,778,102,335.10, 305,667,153,502.65 and 54,733,135,544.70 is: 82,099,703,317.05
Step by Step Solution
- Step 1: Write the proportion equation
203,778,102,335.10 : 305,667,153,502.65 = 54,733,135,544.70 : x - Step 2: Convert to fraction form
203,778,102,335.10/305,667,153,502.65 = 54,733,135,544.70/x - Step 3: Cross multiply
203,778,102,335.10x = 305,667,153,502.65 × 54,733,135,544.70 - Step 4: Simplify right side
203,778,102,335.10x = 16,730,121,744,223,165,218,816 - Step 5: Solve for x
x = 16,730,121,744,223,165,218,816/203,778,102,335.10 - Step 6: Final answer
x = 82,099,703,317.05
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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.