Finding the Fourth Proportional to 204,646,732,990.02, 282,393,539,210.52 and 113,193,315,479.28
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Solution
The fourth proportional to 204,646,732,990.02, 282,393,539,210.52 and 113,193,315,479.28 is: 156,196,292,538.55
Step by Step Solution
- Step 1: Write the proportion equation
204,646,732,990.02 : 282,393,539,210.52 = 113,193,315,479.28 : x - Step 2: Convert to fraction form
204,646,732,990.02/282,393,539,210.52 = 113,193,315,479.28/x - Step 3: Cross multiply
204,646,732,990.02x = 282,393,539,210.52 × 113,193,315,479.28 - Step 4: Simplify right side
204,646,732,990.02x = 31,965,060,973,166,820,589,568 - Step 5: Solve for x
x = 31,965,060,973,166,820,589,568/204,646,732,990.02 - Step 6: Final answer
x = 156,196,292,538.55
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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.