Finding the Fourth Proportional to 189,356,343,132.24, 261,308,524,000.24 and 102,548,209,347.68
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Solution
The fourth proportional to 189,356,343,132.24, 261,308,524,000.24 and 102,548,209,347.68 is: 141,514,779,913.11
Step by Step Solution
- Step 1: Write the proportion equation
189,356,343,132.24 : 261,308,524,000.24 = 102,548,209,347.68 : x - Step 2: Convert to fraction form
189,356,343,132.24/261,308,524,000.24 = 102,548,209,347.68/x - Step 3: Cross multiply
189,356,343,132.24x = 261,308,524,000.24 × 102,548,209,347.68 - Step 4: Simplify right side
189,356,343,132.24x = 26,796,721,223,509,871,689,728 - Step 5: Solve for x
x = 26,796,721,223,509,871,689,728/189,356,343,132.24 - Step 6: Final answer
x = 141,514,779,913.11
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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.