Finding the Fourth Proportional to 993,327,792,712.44, 1,489,991,689,083.20 and 313,475,052,497.30
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Solution
The fourth proportional to 993,327,792,712.44, 1,489,991,689,083.20 and 313,475,052,497.30 is: 470,212,578,750.54
Step by Step Solution
- Step 1: Write the proportion equation
993,327,792,712.44 : 1,489,991,689,083.20 = 313,475,052,497.30 : x - Step 2: Convert to fraction form
993,327,792,712.44/1,489,991,689,083.20 = 313,475,052,497.30/x - Step 3: Cross multiply
993,327,792,712.44x = 1,489,991,689,083.20 × 313,475,052,497.30 - Step 4: Simplify right side
993,327,792,712.44x = 467,075,222,955,896,774,590,464 - Step 5: Solve for x
x = 467,075,222,955,896,774,590,464/993,327,792,712.44 - Step 6: Final answer
x = 470,212,578,750.54
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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.