Finding the Fourth Proportional to 2,083,354,265.84, 3,137,502,742.70 and 1,897,392,431.12
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Solution
The fourth proportional to 2,083,354,265.84, 3,137,502,742.70 and 1,897,392,431.12 is: 2,857,446,788.68
Step by Step Solution
- Step 1: Write the proportion equation
2,083,354,265.84 : 3,137,502,742.70 = 1,897,392,431.12 : x - Step 2: Convert to fraction form
2,083,354,265.84/3,137,502,742.70 = 1,897,392,431.12/x - Step 3: Cross multiply
2,083,354,265.84x = 3,137,502,742.70 × 1,897,392,431.12 - Step 4: Simplify right side
2,083,354,265.84x = 5,953,073,956,617,220,096 - Step 5: Solve for x
x = 5,953,073,956,617,220,096/2,083,354,265.84 - Step 6: Final answer
x = 2,857,446,788.68
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.