Finding the Fourth Proportional to 1,820,254,458.96, 2,511,933,270.12 and 984,860,699.76
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Solution
The fourth proportional to 1,820,254,458.96, 2,511,933,270.12 and 984,860,699.76 is: 1,359,098,089.82
Step by Step Solution
- Step 1: Write the proportion equation
1,820,254,458.96 : 2,511,933,270.12 = 984,860,699.76 : x - Step 2: Convert to fraction form
1,820,254,458.96/2,511,933,270.12 = 984,860,699.76/x - Step 3: Cross multiply
1,820,254,458.96x = 2,511,933,270.12 × 984,860,699.76 - Step 4: Simplify right side
1,820,254,458.96x = 2,473,904,358,160,807,936 - Step 5: Solve for x
x = 2,473,904,358,160,807,936/1,820,254,458.96 - Step 6: Final answer
x = 1,359,098,089.82
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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.