Finding the Fourth Proportional to 201,385,926,972.81, 277,919,156,919.10 and 109,939,353,885.09
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Solution
The fourth proportional to 201,385,926,972.81, 277,919,156,919.10 and 109,939,353,885.09 is: 151,719,899,216.69
Step by Step Solution
- Step 1: Write the proportion equation
201,385,926,972.81 : 277,919,156,919.10 = 109,939,353,885.09 : x - Step 2: Convert to fraction form
201,385,926,972.81/277,919,156,919.10 = 109,939,353,885.09/x - Step 3: Cross multiply
201,385,926,972.81x = 277,919,156,919.10 × 109,939,353,885.09 - Step 4: Simplify right side
201,385,926,972.81x = 30,554,252,543,974,791,184,384 - Step 5: Solve for x
x = 30,554,252,543,974,791,184,384/201,385,926,972.81 - Step 6: Final answer
x = 151,719,899,216.69
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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.