Finding the Fourth Proportional to 267,214,266,337.24, 368,757,145,354.62 and 157,353,405,532.12
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Solution
The fourth proportional to 267,214,266,337.24, 368,757,145,354.62 and 157,353,405,532.12 is: 217,148,558,088.67
Step by Step Solution
- Step 1: Write the proportion equation
267,214,266,337.24 : 368,757,145,354.62 = 157,353,405,532.12 : x - Step 2: Convert to fraction form
267,214,266,337.24/368,757,145,354.62 = 157,353,405,532.12/x - Step 3: Cross multiply
267,214,266,337.24x = 368,757,145,354.62 × 157,353,405,532.12 - Step 4: Simplify right side
267,214,266,337.24x = 58,025,192,635,852,436,537,344 - Step 5: Solve for x
x = 58,025,192,635,852,436,537,344/267,214,266,337.24 - Step 6: Final answer
x = 217,148,558,088.67
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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.