Finding the Fourth Proportional to 2,866,057,078,795.80, 4,299,689,399,689.20 and 929,722,765,382.14
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Solution
The fourth proportional to 2,866,057,078,795.80, 4,299,689,399,689.20 and 929,722,765,382.14 is: 1,394,780,009,281.22
Step by Step Solution
- Step 1: Write the proportion equation
2,866,057,078,795.80 : 4,299,689,399,689.20 = 929,722,765,382.14 : x - Step 2: Convert to fraction form
2,866,057,078,795.80/4,299,689,399,689.20 = 929,722,765,382.14/x - Step 3: Cross multiply
2,866,057,078,795.80x = 4,299,689,399,689.20 × 929,722,765,382.14 - Step 4: Simplify right side
2,866,057,078,795.80x = 3,997,519,118,963,316,749,238,272 - Step 5: Solve for x
x = 3,997,519,118,963,316,749,238,272/2,866,057,078,795.80 - Step 6: Final answer
x = 1,394,780,009,281.22
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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.