Finding the Fourth Proportional to 2,166,706,971.98, 2,990,971,022.55 and 1,462,812,448.94
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Solution
The fourth proportional to 2,166,706,971.98, 2,990,971,022.55 and 1,462,812,448.94 is: 2,019,299,195.87
Step by Step Solution
- Step 1: Write the proportion equation
2,166,706,971.98 : 2,990,971,022.55 = 1,462,812,448.94 : x - Step 2: Convert to fraction form
2,166,706,971.98/2,990,971,022.55 = 1,462,812,448.94/x - Step 3: Cross multiply
2,166,706,971.98x = 2,990,971,022.55 × 1,462,812,448.94 - Step 4: Simplify right side
2,166,706,971.98x = 4,375,229,646,204,941,824 - Step 5: Solve for x
x = 4,375,229,646,204,941,824/2,166,706,971.98 - Step 6: Final answer
x = 2,019,299,195.87
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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.