Finding the Fourth Proportional to 8,319,415,511.60, 11,474,099,105 and 7,313,682,686.48
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Solution
The fourth proportional to 8,319,415,511.60, 11,474,099,105 and 7,313,682,686.48 is: 10,086,997,079.32
Step by Step Solution
- Step 1: Write the proportion equation
8,319,415,511.60 : 11,474,099,105 = 7,313,682,686.48 : x - Step 2: Convert to fraction form
8,319,415,511.60/11,474,099,105 = 7,313,682,686.48/x - Step 3: Cross multiply
8,319,415,511.60x = 11,474,099,105 × 7,313,682,686.48 - Step 4: Simplify right side
8,319,415,511.60x = 83,917,919,967,194,152,960 - Step 5: Solve for x
x = 83,917,919,967,194,152,960/8,319,415,511.60 - Step 6: Final answer
x = 10,086,997,079.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.