Finding the Fourth Proportional to 1,034,857,546.23, 1,552,286,319.35 and 830,784,202.23
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Solution
The fourth proportional to 1,034,857,546.23, 1,552,286,319.35 and 830,784,202.23 is: 1,246,176,303.35
Step by Step Solution
- Step 1: Write the proportion equation
1,034,857,546.23 : 1,552,286,319.35 = 830,784,202.23 : x - Step 2: Convert to fraction form
1,034,857,546.23/1,552,286,319.35 = 830,784,202.23/x - Step 3: Cross multiply
1,034,857,546.23x = 1,552,286,319.35 × 830,784,202.23 - Step 4: Simplify right side
1,034,857,546.23x = 1,289,614,951,453,732,608 - Step 5: Solve for x
x = 1,289,614,951,453,732,608/1,034,857,546.23 - Step 6: Final answer
x = 1,246,176,303.35
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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.