Finding the Fourth Proportional to 102,224,652,224.20, 153,340,102,157.26 and 35,070,955,281.80
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Solution
The fourth proportional to 102,224,652,224.20, 153,340,102,157.26 and 35,070,955,281.80 is: 52,607,504,634.69
Step by Step Solution
- Step 1: Write the proportion equation
102,224,652,224.20 : 153,340,102,157.26 = 35,070,955,281.80 : x - Step 2: Convert to fraction form
102,224,652,224.20/153,340,102,157.26 = 35,070,955,281.80/x - Step 3: Cross multiply
102,224,652,224.20x = 153,340,102,157.26 × 35,070,955,281.80 - Step 4: Simplify right side
102,224,652,224.20x = 5,377,783,865,663,910,051,840 - Step 5: Solve for x
x = 5,377,783,865,663,910,051,840/102,224,652,224.20 - Step 6: Final answer
x = 52,607,504,634.69
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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.