Finding the Fourth Proportional to 474,143,999.40, 711,215,999.10 and 201,523,660.20
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Solution
The fourth proportional to 474,143,999.40, 711,215,999.10 and 201,523,660.20 is: 302,285,490.30
Step by Step Solution
- Step 1: Write the proportion equation
474,143,999.40 : 711,215,999.10 = 201,523,660.20 : x - Step 2: Convert to fraction form
474,143,999.40/711,215,999.10 = 201,523,660.20/x - Step 3: Cross multiply
474,143,999.40x = 711,215,999.10 × 201,523,660.20 - Step 4: Simplify right side
474,143,999.40x = 143,326,851,331,431,904 - Step 5: Solve for x
x = 143,326,851,331,431,904/474,143,999.40 - Step 6: Final answer
x = 302,285,490.30
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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.