Finding the Fourth Proportional to 210,806,183,019.84, 290,912,532,567.36 and 120,585,636,643.96
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Solution
The fourth proportional to 210,806,183,019.84, 290,912,532,567.36 and 120,585,636,643.96 is: 166,408,178,568.65
Step by Step Solution
- Step 1: Write the proportion equation
210,806,183,019.84 : 290,912,532,567.36 = 120,585,636,643.96 : x - Step 2: Convert to fraction form
210,806,183,019.84/290,912,532,567.36 = 120,585,636,643.96/x - Step 3: Cross multiply
210,806,183,019.84x = 290,912,532,567.36 × 120,585,636,643.96 - Step 4: Simplify right side
210,806,183,019.84x = 35,079,872,947,341,852,934,144 - Step 5: Solve for x
x = 35,079,872,947,341,852,934,144/210,806,183,019.84 - Step 6: Final answer
x = 166,408,178,568.65
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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.