Finding the Fourth Proportional to 943,845,366,943.12, 1,415,768,050,414.60 and 943,845,366,943.12
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Solution
The fourth proportional to 943,845,366,943.12, 1,415,768,050,414.60 and 943,845,366,943.12 is: 1,415,768,050,414.60
Step by Step Solution
- Step 1: Write the proportion equation
943,845,366,943.12 : 1,415,768,050,414.60 = 943,845,366,943.12 : x - Step 2: Convert to fraction form
943,845,366,943.12/1,415,768,050,414.60 = 943,845,366,943.12/x - Step 3: Cross multiply
943,845,366,943.12x = 1,415,768,050,414.60 × 943,845,366,943.12 - Step 4: Simplify right side
943,845,366,943.12x = 1,336,266,115,049,913,860,489,216 - Step 5: Solve for x
x = 1,336,266,115,049,913,860,489,216/943,845,366,943.12 - Step 6: Final answer
x = 1,415,768,050,414.60
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.