Finding the Fourth Proportional to 206,169,796.53, 284,506,998.89 and 113,349,628.53
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Solution
The fourth proportional to 206,169,796.53, 284,506,998.89 and 113,349,628.53 is: 156,418,462.75
Step by Step Solution
- Step 1: Write the proportion equation
206,169,796.53 : 284,506,998.89 = 113,349,628.53 : x - Step 2: Convert to fraction form
206,169,796.53/284,506,998.89 = 113,349,628.53/x - Step 3: Cross multiply
206,169,796.53x = 284,506,998.89 × 113,349,628.53 - Step 4: Simplify right side
206,169,796.53x = 32,248,762,637,799,872 - Step 5: Solve for x
x = 32,248,762,637,799,872/206,169,796.53 - Step 6: Final answer
x = 156,418,462.75
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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.