Finding the Fourth Proportional to 30,237,801,928,290, 41,727,722,574,882 and 16,889,319,777,759
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Solution
The fourth proportional to 30,237,801,928,290, 41,727,722,574,882 and 16,889,319,777,759 is: 23,307,013,249,049.69
Step by Step Solution
- Step 1: Write the proportion equation
30,237,801,928,290 : 41,727,722,574,882 = 16,889,319,777,759 : x - Step 2: Convert to fraction form
30,237,801,928,290/41,727,722,574,882 = 16,889,319,777,759/x - Step 3: Cross multiply
30,237,801,928,290x = 41,727,722,574,882 × 16,889,319,777,759 - Step 4: Simplify right side
30,237,801,928,290x = 704,752,850,164,795,238,709,723,136 - Step 5: Solve for x
x = 704,752,850,164,795,238,709,723,136/30,237,801,928,290 - Step 6: Final answer
x = 23,307,013,249,049.69
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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.