Finding the Fourth Proportional to 4,312,616,060,331.80, 6,469,321,764,372.40 and 1,408,356,603,446
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Solution
The fourth proportional to 4,312,616,060,331.80, 6,469,321,764,372.40 and 1,408,356,603,446 is: 2,112,664,772,196.26
Step by Step Solution
- Step 1: Write the proportion equation
4,312,616,060,331.80 : 6,469,321,764,372.40 = 1,408,356,603,446 : x - Step 2: Convert to fraction form
4,312,616,060,331.80/6,469,321,764,372.40 = 1,408,356,603,446/x - Step 3: Cross multiply
4,312,616,060,331.80x = 6,469,321,764,372.40 × 1,408,356,603,446 - Step 4: Simplify right side
4,312,616,060,331.80x = 9,111,112,026,670,798,053,834,752 - Step 5: Solve for x
x = 9,111,112,026,670,798,053,834,752/4,312,616,060,331.80 - Step 6: Final answer
x = 2,112,664,772,196.26
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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.