Finding the Fourth Proportional to 749,188,948,183.47, 1,033,878,141,544.80 and 406,632,810,262.99
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Solution
The fourth proportional to 749,188,948,183.47, 1,033,878,141,544.80 and 406,632,810,262.99 is: 561,151,863,205.12
Step by Step Solution
- Step 1: Write the proportion equation
749,188,948,183.47 : 1,033,878,141,544.80 = 406,632,810,262.99 : x - Step 2: Convert to fraction form
749,188,948,183.47/1,033,878,141,544.80 = 406,632,810,262.99/x - Step 3: Cross multiply
749,188,948,183.47x = 1,033,878,141,544.80 × 406,632,810,262.99 - Step 4: Simplify right side
749,188,948,183.47x = 420,408,774,165,839,390,703,616 - Step 5: Solve for x
x = 420,408,774,165,839,390,703,616/749,188,948,183.47 - Step 6: Final answer
x = 561,151,863,205.12
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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.