Finding the Fourth Proportional to 4,000,403,197,393.50, 5,520,556,411,867.90 and 2,266,212,753,729
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Solution
The fourth proportional to 4,000,403,197,393.50, 5,520,556,411,867.90 and 2,266,212,753,729 is: 3,127,373,599,842.87
Step by Step Solution
- Step 1: Write the proportion equation
4,000,403,197,393.50 : 5,520,556,411,867.90 = 2,266,212,753,729 : x - Step 2: Convert to fraction form
4,000,403,197,393.50/5,520,556,411,867.90 = 2,266,212,753,729/x - Step 3: Cross multiply
4,000,403,197,393.50x = 5,520,556,411,867.90 × 2,266,212,753,729 - Step 4: Simplify right side
4,000,403,197,393.50x = 12,510,755,348,255,442,231,885,824 - Step 5: Solve for x
x = 12,510,755,348,255,442,231,885,824/4,000,403,197,393.50 - Step 6: Final answer
x = 3,127,373,599,842.87
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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.