Finding the Fourth Proportional to 5,347,206,498.70, 8,020,809,748.05 and 5,120,493,768.10
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Solution
The fourth proportional to 5,347,206,498.70, 8,020,809,748.05 and 5,120,493,768.10 is: 7,680,740,652.15
Step by Step Solution
- Step 1: Write the proportion equation
5,347,206,498.70 : 8,020,809,748.05 = 5,120,493,768.10 : x - Step 2: Convert to fraction form
5,347,206,498.70/8,020,809,748.05 = 5,120,493,768.10/x - Step 3: Cross multiply
5,347,206,498.70x = 8,020,809,748.05 × 5,120,493,768.10 - Step 4: Simplify right side
5,347,206,498.70x = 41,070,506,330,005,757,952 - Step 5: Solve for x
x = 41,070,506,330,005,757,952/5,347,206,498.70 - Step 6: Final answer
x = 7,680,740,652.15
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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.