Finding the Fourth Proportional to 4,440,260,195,790, 6,655,689,516,954.50 and 1,493,556,564,319.20
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Solution
The fourth proportional to 4,440,260,195,790, 6,655,689,516,954.50 and 1,493,556,564,319.20 is: 2,238,753,660,774.89
Step by Step Solution
- Step 1: Write the proportion equation
4,440,260,195,790 : 6,655,689,516,954.50 = 1,493,556,564,319.20 : x - Step 2: Convert to fraction form
4,440,260,195,790/6,655,689,516,954.50 = 1,493,556,564,319.20/x - Step 3: Cross multiply
4,440,260,195,790x = 6,655,689,516,954.50 × 1,493,556,564,319.20 - Step 4: Simplify right side
4,440,260,195,790x = 9,940,648,768,117,879,049,551,872 - Step 5: Solve for x
x = 9,940,648,768,117,879,049,551,872/4,440,260,195,790 - Step 6: Final answer
x = 2,238,753,660,774.89
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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.