Finding the Fourth Proportional to 860,402,879,945.64, 1,187,460,092,171.20 and 489,696,429,843
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Solution
The fourth proportional to 860,402,879,945.64, 1,187,460,092,171.20 and 489,696,429,843 is: 675,840,331,629.31
Step by Step Solution
- Step 1: Write the proportion equation
860,402,879,945.64 : 1,187,460,092,171.20 = 489,696,429,843 : x - Step 2: Convert to fraction form
860,402,879,945.64/1,187,460,092,171.20 = 489,696,429,843/x - Step 3: Cross multiply
860,402,879,945.64x = 1,187,460,092,171.20 × 489,696,429,843 - Step 4: Simplify right side
860,402,879,945.64x = 581,494,967,717,276,350,939,136 - Step 5: Solve for x
x = 581,494,967,717,276,350,939,136/860,402,879,945.64 - Step 6: Final answer
x = 675,840,331,629.31
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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.