Finding the Fourth Proportional to 322,633,402,006.62, 445,292,390,233.04 and 192,430,612,098.30
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Solution
The fourth proportional to 322,633,402,006.62, 445,292,390,233.04 and 192,430,612,098.30 is: 265,589,014,287.80
Step by Step Solution
- Step 1: Write the proportion equation
322,633,402,006.62 : 445,292,390,233.04 = 192,430,612,098.30 : x - Step 2: Convert to fraction form
322,633,402,006.62/445,292,390,233.04 = 192,430,612,098.30/x - Step 3: Cross multiply
322,633,402,006.62x = 445,292,390,233.04 × 192,430,612,098.30 - Step 4: Simplify right side
322,633,402,006.62x = 85,687,887,215,258,941,521,920 - Step 5: Solve for x
x = 85,687,887,215,258,941,521,920/322,633,402,006.62 - Step 6: Final answer
x = 265,589,014,287.80
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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.