Finding the Fourth Proportional to 47,818,860,977,760, 65,990,091,786,980 and 25,895,306,017,792
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Solution
The fourth proportional to 47,818,860,977,760, 65,990,091,786,980 and 25,895,306,017,792 is: 35,735,556,766,205.46
Step by Step Solution
- Step 1: Write the proportion equation
47,818,860,977,760 : 65,990,091,786,980 = 25,895,306,017,792 : x - Step 2: Convert to fraction form
47,818,860,977,760/65,990,091,786,980 = 25,895,306,017,792/x - Step 3: Cross multiply
47,818,860,977,760x = 65,990,091,786,980 × 25,895,306,017,792 - Step 4: Simplify right side
47,818,860,977,760x = 1,708,833,620,966,029,675,039,031,296 - Step 5: Solve for x
x = 1,708,833,620,966,029,675,039,031,296/47,818,860,977,760 - Step 6: Final answer
x = 35,735,556,766,205.46
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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.