Finding the Fourth Proportional to 1,420,097,553.70, 2,130,146,330.55 and 800,224,771.30
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Solution
The fourth proportional to 1,420,097,553.70, 2,130,146,330.55 and 800,224,771.30 is: 1,200,337,156.95
Step by Step Solution
- Step 1: Write the proportion equation
1,420,097,553.70 : 2,130,146,330.55 = 800,224,771.30 : x - Step 2: Convert to fraction form
1,420,097,553.70/2,130,146,330.55 = 800,224,771.30/x - Step 3: Cross multiply
1,420,097,553.70x = 2,130,146,330.55 × 800,224,771.30 - Step 4: Simplify right side
1,420,097,553.70x = 1,704,595,860,199,907,840 - Step 5: Solve for x
x = 1,704,595,860,199,907,840/1,420,097,553.70 - Step 6: Final answer
x = 1,200,337,156.95
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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.