Finding the Fourth Proportional to 29,578,150,063,016, 40,800,888,528,405 and 18,447,474,766,083
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Solution
The fourth proportional to 29,578,150,063,016, 40,800,888,528,405 and 18,447,474,766,083 is: 25,446,938,363,553.92
Step by Step Solution
- Step 1: Write the proportion equation
29,578,150,063,016 : 40,800,888,528,405 = 18,447,474,766,083 : x - Step 2: Convert to fraction form
29,578,150,063,016/40,800,888,528,405 = 18,447,474,766,083/x - Step 3: Cross multiply
29,578,150,063,016x = 40,800,888,528,405 × 18,447,474,766,083 - Step 4: Simplify right side
29,578,150,063,016x = 752,673,361,561,516,541,395,075,072 - Step 5: Solve for x
x = 752,673,361,561,516,541,395,075,072/29,578,150,063,016 - Step 6: Final answer
x = 25,446,938,363,553.92
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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.