Finding the Fourth Proportional to 267,214,266,555.74, 368,757,145,656.52 and 157,353,405,750.62
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Solution
The fourth proportional to 267,214,266,555.74, 368,757,145,656.52 and 157,353,405,750.62 is: 217,148,558,390.41
Step by Step Solution
- Step 1: Write the proportion equation
267,214,266,555.74 : 368,757,145,656.52 = 157,353,405,750.62 : x - Step 2: Convert to fraction form
267,214,266,555.74/368,757,145,656.52 = 157,353,405,750.62/x - Step 3: Cross multiply
267,214,266,555.74x = 368,757,145,656.52 × 157,353,405,750.62 - Step 4: Simplify right side
267,214,266,555.74x = 58,025,192,763,930,869,497,856 - Step 5: Solve for x
x = 58,025,192,763,930,869,497,856/267,214,266,555.74 - Step 6: Final answer
x = 217,148,558,390.41
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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.