Finding the Fourth Proportional to 218,292,952,501.74, 327,146,739,610.76 and 169,892,163,713.40
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Solution
The fourth proportional to 218,292,952,501.74, 327,146,739,610.76 and 169,892,163,713.40 is: 254,610,452,638.47
Step by Step Solution
- Step 1: Write the proportion equation
218,292,952,501.74 : 327,146,739,610.76 = 169,892,163,713.40 : x - Step 2: Convert to fraction form
218,292,952,501.74/327,146,739,610.76 = 169,892,163,713.40/x - Step 3: Cross multiply
218,292,952,501.74x = 327,146,739,610.76 × 169,892,163,713.40 - Step 4: Simplify right side
218,292,952,501.74x = 55,579,667,444,256,280,150,016 - Step 5: Solve for x
x = 55,579,667,444,256,280,150,016/218,292,952,501.74 - Step 6: Final answer
x = 254,610,452,638.47
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.