Finding the Fourth Proportional to 1,267,343,196,251.40, 1,901,796,718,109.10 and 587,294,795,541.84
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Solution
The fourth proportional to 1,267,343,196,251.40, 1,901,796,718,109.10 and 587,294,795,541.84 is: 881,304,541,680.33
Step by Step Solution
- Step 1: Write the proportion equation
1,267,343,196,251.40 : 1,901,796,718,109.10 = 587,294,795,541.84 : x - Step 2: Convert to fraction form
1,267,343,196,251.40/1,901,796,718,109.10 = 587,294,795,541.84/x - Step 3: Cross multiply
1,267,343,196,251.40x = 1,901,796,718,109.10 × 587,294,795,541.84 - Step 4: Simplify right side
1,267,343,196,251.40x = 1,116,915,314,724,026,135,347,200 - Step 5: Solve for x
x = 1,116,915,314,724,026,135,347,200/1,267,343,196,251.40 - Step 6: Final answer
x = 881,304,541,680.33
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.