Finding the Fourth Proportional to 104,328,138,497.10, 156,492,207,745.65 and 104,328,138,497.10
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Solution
The fourth proportional to 104,328,138,497.10, 156,492,207,745.65 and 104,328,138,497.10 is: 156,492,207,745.65
Step by Step Solution
- Step 1: Write the proportion equation
104,328,138,497.10 : 156,492,207,745.65 = 104,328,138,497.10 : x - Step 2: Convert to fraction form
104,328,138,497.10/156,492,207,745.65 = 104,328,138,497.10/x - Step 3: Cross multiply
104,328,138,497.10x = 156,492,207,745.65 × 104,328,138,497.10 - Step 4: Simplify right side
104,328,138,497.10x = 16,326,540,723,405,119,815,680 - Step 5: Solve for x
x = 16,326,540,723,405,119,815,680/104,328,138,497.10 - Step 6: Final answer
x = 156,492,207,745.65
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1.5x scale
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.