Finding the Fourth Proportional to 267,214,266,334.74, 368,757,145,351.17 and 157,353,405,529.62
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Solution
The fourth proportional to 267,214,266,334.74, 368,757,145,351.17 and 157,353,405,529.62 is: 217,148,558,085.22
Step by Step Solution
- Step 1: Write the proportion equation
267,214,266,334.74 : 368,757,145,351.17 = 157,353,405,529.62 : x - Step 2: Convert to fraction form
267,214,266,334.74/368,757,145,351.17 = 157,353,405,529.62/x - Step 3: Cross multiply
267,214,266,334.74x = 368,757,145,351.17 × 157,353,405,529.62 - Step 4: Simplify right side
267,214,266,334.74x = 58,025,192,634,387,676,528,640 - Step 5: Solve for x
x = 58,025,192,634,387,676,528,640/267,214,266,334.74 - Step 6: Final answer
x = 217,148,558,085.22
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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.