Finding the Fourth Proportional to 3,154,127,106.74, 4,354,035,640.14 and 1,965,283,448.74
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Solution
The fourth proportional to 3,154,127,106.74, 4,354,035,640.14 and 1,965,283,448.74 is: 2,712,926,235.76
Step by Step Solution
- Step 1: Write the proportion equation
3,154,127,106.74 : 4,354,035,640.14 = 1,965,283,448.74 : x - Step 2: Convert to fraction form
3,154,127,106.74/4,354,035,640.14 = 1,965,283,448.74/x - Step 3: Cross multiply
3,154,127,106.74x = 4,354,035,640.14 × 1,965,283,448.74 - Step 4: Simplify right side
3,154,127,106.74x = 8,556,914,178,791,213,056 - Step 5: Solve for x
x = 8,556,914,178,791,213,056/3,154,127,106.74 - Step 6: Final answer
x = 2,712,926,235.76
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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.