Finding the Fourth Proportional to 145,776,678,748.96, 218,311,903,353.84 and 100,882,375,250.08
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Solution
The fourth proportional to 145,776,678,748.96, 218,311,903,353.84 and 100,882,375,250.08 is: 151,079,195,552.45
Step by Step Solution
- Step 1: Write the proportion equation
145,776,678,748.96 : 218,311,903,353.84 = 100,882,375,250.08 : x - Step 2: Convert to fraction form
145,776,678,748.96/218,311,903,353.84 = 100,882,375,250.08/x - Step 3: Cross multiply
145,776,678,748.96x = 218,311,903,353.84 × 100,882,375,250.08 - Step 4: Simplify right side
145,776,678,748.96x = 22,023,823,355,701,287,190,528 - Step 5: Solve for x
x = 22,023,823,355,701,287,190,528/145,776,678,748.96 - Step 6: Final answer
x = 151,079,195,552.45
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.