Finding the Fourth Proportional to 13,712,043,636,216, 18,922,623,306,660 and 7,546,033,169,838
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Solution
The fourth proportional to 13,712,043,636,216, 18,922,623,306,660 and 7,546,033,169,838 is: 10,413,527,474,144.68
Step by Step Solution
- Step 1: Write the proportion equation
13,712,043,636,216 : 18,922,623,306,660 = 7,546,033,169,838 : x - Step 2: Convert to fraction form
13,712,043,636,216/18,922,623,306,660 = 7,546,033,169,838/x - Step 3: Cross multiply
13,712,043,636,216x = 18,922,623,306,660 × 7,546,033,169,838 - Step 4: Simplify right side
13,712,043,636,216x = 142,790,743,132,405,977,063,620,608 - Step 5: Solve for x
x = 142,790,743,132,405,977,063,620,608/13,712,043,636,216 - Step 6: Final answer
x = 10,413,527,474,144.68
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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.