Finding the Fourth Proportional to 1,629,516,935,953.80, 2,248,781,339,302.10 and 897,952,467,272.10
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Solution
The fourth proportional to 1,629,516,935,953.80, 2,248,781,339,302.10 and 897,952,467,272.10 is: 1,239,200,837,639.55
Step by Step Solution
- Step 1: Write the proportion equation
1,629,516,935,953.80 : 2,248,781,339,302.10 = 897,952,467,272.10 : x - Step 2: Convert to fraction form
1,629,516,935,953.80/2,248,781,339,302.10 = 897,952,467,272.10/x - Step 3: Cross multiply
1,629,516,935,953.80x = 2,248,781,339,302.10 × 897,952,467,272.10 - Step 4: Simplify right side
1,629,516,935,953.80x = 2,019,298,751,981,778,175,524,864 - Step 5: Solve for x
x = 2,019,298,751,981,778,175,524,864/1,629,516,935,953.80 - Step 6: Final answer
x = 1,239,200,837,639.55
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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.