Finding the Fourth Proportional to 1,024,582,202.76, 1,534,395,608.10 and 586,554,358.80
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Solution
The fourth proportional to 1,024,582,202.76, 1,534,395,608.10 and 586,554,358.80 is: 878,413,103.05
Step by Step Solution
- Step 1: Write the proportion equation
1,024,582,202.76 : 1,534,395,608.10 = 586,554,358.80 : x - Step 2: Convert to fraction form
1,024,582,202.76/1,534,395,608.10 = 586,554,358.80/x - Step 3: Cross multiply
1,024,582,202.76x = 1,534,395,608.10 × 586,554,358.80 - Step 4: Simplify right side
1,024,582,202.76x = 900,006,432,054,631,424 - Step 5: Solve for x
x = 900,006,432,054,631,424/1,024,582,202.76 - Step 6: Final answer
x = 878,413,103.05
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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.