Finding the Fourth Proportional to 204,793,304,533.54, 282,612,678,548.76 and 113,342,032,918.09
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Solution
The fourth proportional to 204,793,304,533.54, 282,612,678,548.76 and 113,342,032,918.09 is: 156,410,853,314.29
Step by Step Solution
- Step 1: Write the proportion equation
204,793,304,533.54 : 282,612,678,548.76 = 113,342,032,918.09 : x - Step 2: Convert to fraction form
204,793,304,533.54/282,612,678,548.76 = 113,342,032,918.09/x - Step 3: Cross multiply
204,793,304,533.54x = 282,612,678,548.76 × 113,342,032,918.09 - Step 4: Simplify right side
204,793,304,533.54x = 32,031,895,515,143,144,996,864 - Step 5: Solve for x
x = 32,031,895,515,143,144,996,864/204,793,304,533.54 - Step 6: Final answer
x = 156,410,853,314.29
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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.