Finding the Fourth Proportional to 29,830,812,230,226, 41,166,082,768,706 and 16,661,995,729,838
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Solution
The fourth proportional to 29,830,812,230,226, 41,166,082,768,706 and 16,661,995,729,838 is: 22,993,309,401,456.43
Step by Step Solution
- Step 1: Write the proportion equation
29,830,812,230,226 : 41,166,082,768,706 = 16,661,995,729,838 : x - Step 2: Convert to fraction form
29,830,812,230,226/41,166,082,768,706 = 16,661,995,729,838/x - Step 3: Cross multiply
29,830,812,230,226x = 41,166,082,768,706 × 16,661,995,729,838 - Step 4: Simplify right side
29,830,812,230,226x = 685,909,095,306,337,020,203,237,376 - Step 5: Solve for x
x = 685,909,095,306,337,020,203,237,376/29,830,812,230,226 - Step 6: Final answer
x = 22,993,309,401,456.43
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.