Finding the Fourth Proportional to 11,377,867,194,220, 15,698,765,599,200 and 6,439,488,936,790.10
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Solution
The fourth proportional to 11,377,867,194,220, 15,698,765,599,200 and 6,439,488,936,790.10 is: 8,884,971,644,656.26
Step by Step Solution
- Step 1: Write the proportion equation
11,377,867,194,220 : 15,698,765,599,200 = 6,439,488,936,790.10 : x - Step 2: Convert to fraction form
11,377,867,194,220/15,698,765,599,200 = 6,439,488,936,790.10/x - Step 3: Cross multiply
11,377,867,194,220x = 15,698,765,599,200 × 6,439,488,936,790.10 - Step 4: Simplify right side
11,377,867,194,220x = 101,092,027,397,309,406,392,614,912 - Step 5: Solve for x
x = 101,092,027,397,309,406,392,614,912/11,377,867,194,220 - Step 6: Final answer
x = 8,884,971,644,656.26
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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.