Finding the Fourth Proportional to 4,660,416,171.40, 6,990,624,257.10 and 4,261,339,409.80
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Solution
The fourth proportional to 4,660,416,171.40, 6,990,624,257.10 and 4,261,339,409.80 is: 6,392,009,114.70
Step by Step Solution
- Step 1: Write the proportion equation
4,660,416,171.40 : 6,990,624,257.10 = 4,261,339,409.80 : x - Step 2: Convert to fraction form
4,660,416,171.40/6,990,624,257.10 = 4,261,339,409.80/x - Step 3: Cross multiply
4,660,416,171.40x = 6,990,624,257.10 × 4,261,339,409.80 - Step 4: Simplify right side
4,660,416,171.40x = 29,789,422,645,884,080,128 - Step 5: Solve for x
x = 29,789,422,645,884,080,128/4,660,416,171.40 - Step 6: Final answer
x = 6,392,009,114.70
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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.