Finding the Fourth Proportional to 6,201,468,199,125.80, 9,302,202,298,688.70 and 6,201,468,199,125.80
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Solution
The fourth proportional to 6,201,468,199,125.80, 9,302,202,298,688.70 and 6,201,468,199,125.80 is: 9,302,202,298,688.70
Step by Step Solution
- Step 1: Write the proportion equation
6,201,468,199,125.80 : 9,302,202,298,688.70 = 6,201,468,199,125.80 : x - Step 2: Convert to fraction form
6,201,468,199,125.80/9,302,202,298,688.70 = 6,201,468,199,125.80/x - Step 3: Cross multiply
6,201,468,199,125.80x = 9,302,202,298,688.70 × 6,201,468,199,125.80 - Step 4: Simplify right side
6,201,468,199,125.80x = 57,687,311,737,152,883,616,907,264 - Step 5: Solve for x
x = 57,687,311,737,152,883,616,907,264/6,201,468,199,125.80 - Step 6: Final answer
x = 9,302,202,298,688.70
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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.