Finding the Fourth Proportional to 1,827,798,738.44, 2,741,564,006.96 and 583,895,214.09
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Solution
The fourth proportional to 1,827,798,738.44, 2,741,564,006.96 and 583,895,214.09 is: 875,799,982.31
Step by Step Solution
- Step 1: Write the proportion equation
1,827,798,738.44 : 2,741,564,006.96 = 583,895,214.09 : x - Step 2: Convert to fraction form
1,827,798,738.44/2,741,564,006.96 = 583,895,214.09/x - Step 3: Cross multiply
1,827,798,738.44x = 2,741,564,006.96 × 583,895,214.09 - Step 4: Simplify right side
1,827,798,738.44x = 1,600,786,102,782,427,904 - Step 5: Solve for x
x = 1,600,786,102,782,427,904/1,827,798,738.44 - Step 6: Final answer
x = 875,799,982.31
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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.