Finding the Fourth Proportional to 11,137,768,001,293, 15,370,120,580,902 and 6,199,283,763,319.80
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Solution
The fourth proportional to 11,137,768,001,293, 15,370,120,580,902 and 6,199,283,763,319.80 is: 8,555,012,004,774.35
Step by Step Solution
- Step 1: Write the proportion equation
11,137,768,001,293 : 15,370,120,580,902 = 6,199,283,763,319.80 : x - Step 2: Convert to fraction form
11,137,768,001,293/15,370,120,580,902 = 6,199,283,763,319.80/x - Step 3: Cross multiply
11,137,768,001,293x = 15,370,120,580,902 × 6,199,283,763,319.80 - Step 4: Simplify right side
11,137,768,001,293x = 95,283,738,957,453,263,431,008,256 - Step 5: Solve for x
x = 95,283,738,957,453,263,431,008,256/11,137,768,001,293 - Step 6: Final answer
x = 8,555,012,004,774.35
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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.