Finding the Fourth Proportional to 4,809,856,794,088.40, 6,637,628,616,408 and 2,832,361,299,596.20
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Solution
The fourth proportional to 4,809,856,794,088.40, 6,637,628,616,408 and 2,832,361,299,596.20 is: 3,908,674,045,620.82
Step by Step Solution
- Step 1: Write the proportion equation
4,809,856,794,088.40 : 6,637,628,616,408 = 2,832,361,299,596.20 : x - Step 2: Convert to fraction form
4,809,856,794,088.40/6,637,628,616,408 = 2,832,361,299,596.20/x - Step 3: Cross multiply
4,809,856,794,088.40x = 6,637,628,616,408 × 2,832,361,299,596.20 - Step 4: Simplify right side
4,809,856,794,088.40x = 18,800,162,414,206,291,904,823,296 - Step 5: Solve for x
x = 18,800,162,414,206,291,904,823,296/4,809,856,794,088.40 - Step 6: Final answer
x = 3,908,674,045,620.82
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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.