Finding the Fourth Proportional to 513,942,638,163.48, 709,257,849,744.80 and 282,464,362,294.18
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Solution
The fourth proportional to 513,942,638,163.48, 709,257,849,744.80 and 282,464,362,294.18 is: 389,810,168,205.15
Step by Step Solution
- Step 1: Write the proportion equation
513,942,638,163.48 : 709,257,849,744.80 = 282,464,362,294.18 : x - Step 2: Convert to fraction form
513,942,638,163.48/709,257,849,744.80 = 282,464,362,294.18/x - Step 3: Cross multiply
513,942,638,163.48x = 709,257,849,744.80 × 282,464,362,294.18 - Step 4: Simplify right side
513,942,638,163.48x = 200,340,066,230,306,263,269,376 - Step 5: Solve for x
x = 200,340,066,230,306,263,269,376/513,942,638,163.48 - Step 6: Final answer
x = 389,810,168,205.15
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.