Finding the Fourth Proportional to 9,129,024,135.10, 13,693,536,202.65 and 8,512,269,139.90
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Solution
The fourth proportional to 9,129,024,135.10, 13,693,536,202.65 and 8,512,269,139.90 is: 12,768,403,709.85
Step by Step Solution
- Step 1: Write the proportion equation
9,129,024,135.10 : 13,693,536,202.65 = 8,512,269,139.90 : x - Step 2: Convert to fraction form
9,129,024,135.10/13,693,536,202.65 = 8,512,269,139.90/x - Step 3: Cross multiply
9,129,024,135.10x = 13,693,536,202.65 × 8,512,269,139.90 - Step 4: Simplify right side
9,129,024,135.10x = 116,563,065,633,921,024,000 - Step 5: Solve for x
x = 116,563,065,633,921,024,000/9,129,024,135.10 - Step 6: Final answer
x = 12,768,403,709.85
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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.