Finding the Fourth Proportional to 9,001,761,469.61, 13,497,408,284.48 and 3,406,130,818.14
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Solution
The fourth proportional to 9,001,761,469.61, 13,497,408,284.48 and 3,406,130,818.14 is: 5,107,215,790.82
Step by Step Solution
- Step 1: Write the proportion equation
9,001,761,469.61 : 13,497,408,284.48 = 3,406,130,818.14 : x - Step 2: Convert to fraction form
9,001,761,469.61/13,497,408,284.48 = 3,406,130,818.14/x - Step 3: Cross multiply
9,001,761,469.61x = 13,497,408,284.48 × 3,406,130,818.14 - Step 4: Simplify right side
9,001,761,469.61x = 45,973,938,322,755,076,096 - Step 5: Solve for x
x = 45,973,938,322,755,076,096/9,001,761,469.61 - Step 6: Final answer
x = 5,107,215,790.82
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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.