Finding the Fourth Proportional to 267,214,266,338.24, 368,757,145,356 and 157,353,405,533.12
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Solution
The fourth proportional to 267,214,266,338.24, 368,757,145,356 and 157,353,405,533.12 is: 217,148,558,090.05
Step by Step Solution
- Step 1: Write the proportion equation
267,214,266,338.24 : 368,757,145,356 = 157,353,405,533.12 : x - Step 2: Convert to fraction form
267,214,266,338.24/368,757,145,356 = 157,353,405,533.12/x - Step 3: Cross multiply
267,214,266,338.24x = 368,757,145,356 × 157,353,405,533.12 - Step 4: Simplify right side
267,214,266,338.24x = 58,025,192,636,438,347,251,712 - Step 5: Solve for x
x = 58,025,192,636,438,347,251,712/267,214,266,338.24 - Step 6: Final answer
x = 217,148,558,090.05
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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.