Finding the Fourth Proportional to 314,364,942,329.24, 434,181,471,764.28 and 211,303,133,372.24
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Solution
The fourth proportional to 314,364,942,329.24, 434,181,471,764.28 and 211,303,133,372.24 is: 291,838,856,954.60
Step by Step Solution
- Step 1: Write the proportion equation
314,364,942,329.24 : 434,181,471,764.28 = 211,303,133,372.24 : x - Step 2: Convert to fraction form
314,364,942,329.24/434,181,471,764.28 = 211,303,133,372.24/x - Step 3: Cross multiply
314,364,942,329.24x = 434,181,471,764.28 × 211,303,133,372.24 - Step 4: Simplify right side
314,364,942,329.24x = 91,743,905,435,963,107,573,760 - Step 5: Solve for x
x = 91,743,905,435,963,107,573,760/314,364,942,329.24 - Step 6: Final answer
x = 291,838,856,954.60
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1.5x scale
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.