Finding the Fourth Proportional to 6,419,667,933.84, 9,624,645,382.92 and 4,209,434,076.88
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Solution
The fourth proportional to 6,419,667,933.84, 9,624,645,382.92 and 4,209,434,076.88 is: 6,310,966,652.84
Step by Step Solution
- Step 1: Write the proportion equation
6,419,667,933.84 : 9,624,645,382.92 = 4,209,434,076.88 : x - Step 2: Convert to fraction form
6,419,667,933.84/9,624,645,382.92 = 4,209,434,076.88/x - Step 3: Cross multiply
6,419,667,933.84x = 9,624,645,382.92 × 4,209,434,076.88 - Step 4: Simplify right side
6,419,667,933.84x = 40,514,310,252,749,209,600 - Step 5: Solve for x
x = 40,514,310,252,749,209,600/6,419,667,933.84 - Step 6: Final answer
x = 6,310,966,652.84
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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.