Finding the Fourth Proportional to 2,586,466,204.12, 3,882,152,104.98 and 1,600,911,526.96
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Solution
The fourth proportional to 2,586,466,204.12, 3,882,152,104.98 and 1,600,911,526.96 is: 2,402,885,467.58
Step by Step Solution
- Step 1: Write the proportion equation
2,586,466,204.12 : 3,882,152,104.98 = 1,600,911,526.96 : x - Step 2: Convert to fraction form
2,586,466,204.12/3,882,152,104.98 = 1,600,911,526.96/x - Step 3: Cross multiply
2,586,466,204.12x = 3,882,152,104.98 × 1,600,911,526.96 - Step 4: Simplify right side
2,586,466,204.12x = 6,214,982,054,274,509,824 - Step 5: Solve for x
x = 6,214,982,054,274,509,824/2,586,466,204.12 - Step 6: Final answer
x = 2,402,885,467.58
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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.