Finding the Fourth Proportional to 204,862,554,527.84, 282,699,125,031.02 and 112,145,472,793.05
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Solution
The fourth proportional to 204,862,554,527.84, 282,699,125,031.02 and 112,145,472,793.05 is: 154,754,621,252.55
Step by Step Solution
- Step 1: Write the proportion equation
204,862,554,527.84 : 282,699,125,031.02 = 112,145,472,793.05 : x - Step 2: Convert to fraction form
204,862,554,527.84/282,699,125,031.02 = 112,145,472,793.05/x - Step 3: Cross multiply
204,862,554,527.84x = 282,699,125,031.02 × 112,145,472,793.05 - Step 4: Simplify right side
204,862,554,527.84x = 31,703,427,034,785,295,368,192 - Step 5: Solve for x
x = 31,703,427,034,785,295,368,192/204,862,554,527.84 - Step 6: Final answer
x = 154,754,621,252.55
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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.