Finding the Fourth Proportional to 11,893,700,497,511, 16,413,307,475,848 and 6,620,035,932,839.70
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Solution
The fourth proportional to 11,893,700,497,511, 16,413,307,475,848 and 6,620,035,932,839.70 is: 9,135,650,026,633.75
Step by Step Solution
- Step 1: Write the proportion equation
11,893,700,497,511 : 16,413,307,475,848 = 6,620,035,932,839.70 : x - Step 2: Convert to fraction form
11,893,700,497,511/16,413,307,475,848 = 6,620,035,932,839.70/x - Step 3: Cross multiply
11,893,700,497,511x = 16,413,307,475,848 × 6,620,035,932,839.70 - Step 4: Simplify right side
11,893,700,497,511x = 108,656,685,266,860,245,394,653,184 - Step 5: Solve for x
x = 108,656,685,266,860,245,394,653,184/11,893,700,497,511 - Step 6: Final answer
x = 9,135,650,026,633.75
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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.