Finding the Fourth Proportional to 355,176,715,078.76, 532,796,392,453.68 and 100,208,329,809.05
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Solution
The fourth proportional to 355,176,715,078.76, 532,796,392,453.68 and 100,208,329,809.05 is: 150,321,331,183.64
Step by Step Solution
- Step 1: Write the proportion equation
355,176,715,078.76 : 532,796,392,453.68 = 100,208,329,809.05 : x - Step 2: Convert to fraction form
355,176,715,078.76/532,796,392,453.68 = 100,208,329,809.05/x - Step 3: Cross multiply
355,176,715,078.76x = 532,796,392,453.68 × 100,208,329,809.05 - Step 4: Simplify right side
355,176,715,078.76x = 53,390,636,616,070,408,962,048 - Step 5: Solve for x
x = 53,390,636,616,070,408,962,048/355,176,715,078.76 - Step 6: Final answer
x = 150,321,331,183.64
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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.