Finding the Fourth Proportional to 1,711,122,568.52, 2,566,380,450.84 and 778,226,903.72
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Solution
The fourth proportional to 1,711,122,568.52, 2,566,380,450.84 and 778,226,903.72 is: 1,167,202,366.90
Step by Step Solution
- Step 1: Write the proportion equation
1,711,122,568.52 : 2,566,380,450.84 = 778,226,903.72 : x - Step 2: Convert to fraction form
1,711,122,568.52/2,566,380,450.84 = 778,226,903.72/x - Step 3: Cross multiply
1,711,122,568.52x = 2,566,380,450.84 × 778,226,903.72 - Step 4: Simplify right side
1,711,122,568.52x = 1,997,226,312,024,751,104 - Step 5: Solve for x
x = 1,997,226,312,024,751,104/1,711,122,568.52 - Step 6: Final answer
x = 1,167,202,366.90
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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.