Finding the Fourth Proportional to 2,506,213,441,618, 3,759,315,470,208.90 and 785,293,524,916.68
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Solution
The fourth proportional to 2,506,213,441,618, 3,759,315,470,208.90 and 785,293,524,916.68 is: 1,177,938,817,121.76
Step by Step Solution
- Step 1: Write the proportion equation
2,506,213,441,618 : 3,759,315,470,208.90 = 785,293,524,916.68 : x - Step 2: Convert to fraction form
2,506,213,441,618/3,759,315,470,208.90 = 785,293,524,916.68/x - Step 3: Cross multiply
2,506,213,441,618x = 3,759,315,470,208.90 × 785,293,524,916.68 - Step 4: Simplify right side
2,506,213,441,618x = 2,952,166,096,874,153,715,957,760 - Step 5: Solve for x
x = 2,952,166,096,874,153,715,957,760/2,506,213,441,618 - Step 6: Final answer
x = 1,177,938,817,121.76
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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.