Finding the Fourth Proportional to 2,177,315,979,771, 3,004,696,346,278.80 and 1,201,834,039,292.10
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Solution
The fourth proportional to 2,177,315,979,771, 3,004,696,346,278.80 and 1,201,834,039,292.10 is: 1,658,531,136,612.64
Step by Step Solution
- Step 1: Write the proportion equation
2,177,315,979,771 : 3,004,696,346,278.80 = 1,201,834,039,292.10 : x - Step 2: Convert to fraction form
2,177,315,979,771/3,004,696,346,278.80 = 1,201,834,039,292.10/x - Step 3: Cross multiply
2,177,315,979,771x = 3,004,696,346,278.80 × 1,201,834,039,292.10 - Step 4: Simplify right side
2,177,315,979,771x = 3,611,146,346,694,464,432,504,832 - Step 5: Solve for x
x = 3,611,146,346,694,464,432,504,832/2,177,315,979,771 - Step 6: Final answer
x = 1,658,531,136,612.64
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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.