Finding the Fourth Proportional to 713,889,867,951.05, 1,070,976,128,202.40 and 203,952,976,336.54
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Solution
The fourth proportional to 713,889,867,951.05, 1,070,976,128,202.40 and 203,952,976,336.54 is: 305,969,840,360.92
Step by Step Solution
- Step 1: Write the proportion equation
713,889,867,951.05 : 1,070,976,128,202.40 = 203,952,976,336.54 : x - Step 2: Convert to fraction form
713,889,867,951.05/1,070,976,128,202.40 = 203,952,976,336.54/x - Step 3: Cross multiply
713,889,867,951.05x = 1,070,976,128,202.40 × 203,952,976,336.54 - Step 4: Simplify right side
713,889,867,951.05x = 218,428,768,932,263,337,394,176 - Step 5: Solve for x
x = 218,428,768,932,263,337,394,176/713,889,867,951.05 - Step 6: Final answer
x = 305,969,840,360.92
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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.