Finding the Fourth Proportional to 2,264,249,919,189.20, 3,396,851,944,463.70 and 734,306,924,311.05
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Solution
The fourth proportional to 2,264,249,919,189.20, 3,396,851,944,463.70 and 734,306,924,311.05 is: 1,101,615,101,115.84
Step by Step Solution
- Step 1: Write the proportion equation
2,264,249,919,189.20 : 3,396,851,944,463.70 = 734,306,924,311.05 : x - Step 2: Convert to fraction form
2,264,249,919,189.20/3,396,851,944,463.70 = 734,306,924,311.05/x - Step 3: Cross multiply
2,264,249,919,189.20x = 3,396,851,944,463.70 × 734,306,924,311.05 - Step 4: Simplify right side
2,264,249,919,189.20x = 2,494,331,903,679,149,736,198,144 - Step 5: Solve for x
x = 2,494,331,903,679,149,736,198,144/2,264,249,919,189.20 - Step 6: Final answer
x = 1,101,615,101,115.84
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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.