Finding the Fourth Proportional to 2,833,855,106.31, 3,912,135,876.99 and 1,762,503,763.32
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Solution
The fourth proportional to 2,833,855,106.31, 3,912,135,876.99 and 1,762,503,763.32 is: 2,433,135,762.82
Step by Step Solution
- Step 1: Write the proportion equation
2,833,855,106.31 : 3,912,135,876.99 = 1,762,503,763.32 : x - Step 2: Convert to fraction form
2,833,855,106.31/3,912,135,876.99 = 1,762,503,763.32/x - Step 3: Cross multiply
2,833,855,106.31x = 3,912,135,876.99 × 1,762,503,763.32 - Step 4: Simplify right side
2,833,855,106.31x = 6,895,154,205,814,063,104 - Step 5: Solve for x
x = 6,895,154,205,814,063,104/2,833,855,106.31 - Step 6: Final answer
x = 2,433,135,762.82
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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.