Finding the Fourth Proportional to 418,886,075,619.46, 628,417,358,660.49 and 135,882,821,416.42
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Solution
The fourth proportional to 418,886,075,619.46, 628,417,358,660.49 and 135,882,821,416.42 is: 203,852,858,072.60
Step by Step Solution
- Step 1: Write the proportion equation
418,886,075,619.46 : 628,417,358,660.49 = 135,882,821,416.42 : x - Step 2: Convert to fraction form
418,886,075,619.46/628,417,358,660.49 = 135,882,821,416.42/x - Step 3: Cross multiply
418,886,075,619.46x = 628,417,358,660.49 × 135,882,821,416.42 - Step 4: Simplify right side
418,886,075,619.46x = 85,391,123,721,841,710,989,312 - Step 5: Solve for x
x = 85,391,123,721,841,710,989,312/418,886,075,619.46 - Step 6: Final answer
x = 203,852,858,072.60
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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.