Finding the Fourth Proportional to 165,657,207,311.70, 248,485,810,967.55 and 165,657,207,311.70
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Solution
The fourth proportional to 165,657,207,311.70, 248,485,810,967.55 and 165,657,207,311.70 is: 248,485,810,967.55
Step by Step Solution
- Step 1: Write the proportion equation
165,657,207,311.70 : 248,485,810,967.55 = 165,657,207,311.70 : x - Step 2: Convert to fraction form
165,657,207,311.70/248,485,810,967.55 = 165,657,207,311.70/x - Step 3: Cross multiply
165,657,207,311.70x = 248,485,810,967.55 × 165,657,207,311.70 - Step 4: Simplify right side
165,657,207,311.70x = 41,163,465,501,467,331,264,512 - Step 5: Solve for x
x = 41,163,465,501,467,331,264,512/165,657,207,311.70 - Step 6: Final answer
x = 248,485,810,967.55
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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.