Finding the Fourth Proportional to 1,516,490,847.20, 2,274,736,270.80 and 596,397,202.40
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Solution
The fourth proportional to 1,516,490,847.20, 2,274,736,270.80 and 596,397,202.40 is: 894,595,803.60
Step by Step Solution
- Step 1: Write the proportion equation
1,516,490,847.20 : 2,274,736,270.80 = 596,397,202.40 : x - Step 2: Convert to fraction form
1,516,490,847.20/2,274,736,270.80 = 596,397,202.40/x - Step 3: Cross multiply
1,516,490,847.20x = 2,274,736,270.80 × 596,397,202.40 - Step 4: Simplify right side
1,516,490,847.20x = 1,356,646,348,102,928,896 - Step 5: Solve for x
x = 1,356,646,348,102,928,896/1,516,490,847.20 - Step 6: Final answer
x = 894,595,803.60
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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.