Finding the Fourth Proportional to 5,119,122,839.20, 7,678,684,258.80 and 1,438,628,193.70
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Solution
The fourth proportional to 5,119,122,839.20, 7,678,684,258.80 and 1,438,628,193.70 is: 2,157,942,290.55
Step by Step Solution
- Step 1: Write the proportion equation
5,119,122,839.20 : 7,678,684,258.80 = 1,438,628,193.70 : x - Step 2: Convert to fraction form
5,119,122,839.20/7,678,684,258.80 = 1,438,628,193.70/x - Step 3: Cross multiply
5,119,122,839.20x = 7,678,684,258.80 × 1,438,628,193.70 - Step 4: Simplify right side
5,119,122,839.20x = 11,046,771,665,210,871,808 - Step 5: Solve for x
x = 11,046,771,665,210,871,808/5,119,122,839.20 - Step 6: Final answer
x = 2,157,942,290.55
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1.5x scale
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.