Finding the Fourth Proportional to 7,706,027,100,617.40, 10,634,518,946,021 and 4,190,531,782,317.80
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Solution
The fourth proportional to 7,706,027,100,617.40, 10,634,518,946,021 and 4,190,531,782,317.80 is: 5,783,043,460,798.54
Step by Step Solution
- Step 1: Write the proportion equation
7,706,027,100,617.40 : 10,634,518,946,021 = 4,190,531,782,317.80 : x - Step 2: Convert to fraction form
7,706,027,100,617.40/10,634,518,946,021 = 4,190,531,782,317.80/x - Step 3: Cross multiply
7,706,027,100,617.40x = 10,634,518,946,021 × 4,190,531,782,317.80 - Step 4: Simplify right side
7,706,027,100,617.40x = 44,564,289,632,961,793,930,297,344 - Step 5: Solve for x
x = 44,564,289,632,961,793,930,297,344/7,706,027,100,617.40 - Step 6: Final answer
x = 5,783,043,460,798.54
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.