Finding the Fourth Proportional to 1,780,729,731.12, 2,671,117,329.00 and 470,620,464.50
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Solution
The fourth proportional to 1,780,729,731.12, 2,671,117,329.00 and 470,620,464.50 is: 705,936,704.57
Step by Step Solution
- Step 1: Write the proportion equation
1,780,729,731.12 : 2,671,117,329.00 = 470,620,464.50 : x - Step 2: Convert to fraction form
1,780,729,731.12/2,671,117,329.00 = 470,620,464.50/x - Step 3: Cross multiply
1,780,729,731.12x = 2,671,117,329.00 × 470,620,464.50 - Step 4: Simplify right side
1,780,729,731.12x = 1,257,082,478,120,346,624 - Step 5: Solve for x
x = 1,257,082,478,120,346,624/1,780,729,731.12 - Step 6: Final answer
x = 705,936,704.57
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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.