Finding the Fourth Proportional to 2,177,414,710,075, 3,004,821,823,218.60 and 1,201,924,052,646.90
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Solution
The fourth proportional to 2,177,414,710,075, 3,004,821,823,218.60 and 1,201,924,052,646.90 is: 1,658,649,409,565.32
Step by Step Solution
- Step 1: Write the proportion equation
2,177,414,710,075 : 3,004,821,823,218.60 = 1,201,924,052,646.90 : x - Step 2: Convert to fraction form
2,177,414,710,075/3,004,821,823,218.60 = 1,201,924,052,646.90/x - Step 3: Cross multiply
2,177,414,710,075x = 3,004,821,823,218.60 × 1,201,924,052,646.90 - Step 4: Simplify right side
2,177,414,710,075x = 3,611,567,623,244,746,690,920,448 - Step 5: Solve for x
x = 3,611,567,623,244,746,690,920,448/2,177,414,710,075 - Step 6: Final answer
x = 1,658,649,409,565.32
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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.