Finding the Fourth Proportional to 2,741,027,403,494, 3,782,708,531,911 and 1,506,476,598,858.10
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Solution
The fourth proportional to 2,741,027,403,494, 3,782,708,531,911 and 1,506,476,598,858.10 is: 2,078,987,563,699.95
Step by Step Solution
- Step 1: Write the proportion equation
2,741,027,403,494 : 3,782,708,531,911 = 1,506,476,598,858.10 : x - Step 2: Convert to fraction form
2,741,027,403,494/3,782,708,531,911 = 1,506,476,598,858.10/x - Step 3: Cross multiply
2,741,027,403,494x = 3,782,708,531,911 × 1,506,476,598,858.10 - Step 4: Simplify right side
2,741,027,403,494x = 5,698,561,883,624,800,434,257,920 - Step 5: Solve for x
x = 5,698,561,883,624,800,434,257,920/2,741,027,403,494 - Step 6: Final answer
x = 2,078,987,563,699.95
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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.