Finding the Fourth Proportional to 2,075,083,275,122.80, 2,863,704,935,286 and 1,149,137,352,197.40
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Solution
The fourth proportional to 2,075,083,275,122.80, 2,863,704,935,286 and 1,149,137,352,197.40 is: 1,585,859,394,782.33
Step by Step Solution
- Step 1: Write the proportion equation
2,075,083,275,122.80 : 2,863,704,935,286 = 1,149,137,352,197.40 : x - Step 2: Convert to fraction form
2,075,083,275,122.80/2,863,704,935,286 = 1,149,137,352,197.40/x - Step 3: Cross multiply
2,075,083,275,122.80x = 2,863,704,935,286 × 1,149,137,352,197.40 - Step 4: Simplify right side
2,075,083,275,122.80x = 3,290,790,306,809,180,560,818,176 - Step 5: Solve for x
x = 3,290,790,306,809,180,560,818,176/2,075,083,275,122.80 - Step 6: Final answer
x = 1,585,859,394,782.33
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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.