Finding the Fourth Proportional to 5,448,234,575,671, 8,172,359,728,897.20 and 2,224,902,337,988.80
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Solution
The fourth proportional to 5,448,234,575,671, 8,172,359,728,897.20 and 2,224,902,337,988.80 is: 3,337,356,718,982.59
Step by Step Solution
- Step 1: Write the proportion equation
5,448,234,575,671 : 8,172,359,728,897.20 = 2,224,902,337,988.80 : x - Step 2: Convert to fraction form
5,448,234,575,671/8,172,359,728,897.20 = 2,224,902,337,988.80/x - Step 3: Cross multiply
5,448,234,575,671x = 8,172,359,728,897.20 × 2,224,902,337,988.80 - Step 4: Simplify right side
5,448,234,575,671x = 18,182,702,267,708,895,240,650,752 - Step 5: Solve for x
x = 18,182,702,267,708,895,240,650,752/5,448,234,575,671 - Step 6: Final answer
x = 3,337,356,718,982.59
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.