Finding the Fourth Proportional to 3,023,088,893,383, 4,537,860,315,330.20 and 1,302,886,158,660.20
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Solution
The fourth proportional to 3,023,088,893,383, 4,537,860,315,330.20 and 1,302,886,158,660.20 is: 1,955,719,994,776.91
Step by Step Solution
- Step 1: Write the proportion equation
3,023,088,893,383 : 4,537,860,315,330.20 = 1,302,886,158,660.20 : x - Step 2: Convert to fraction form
3,023,088,893,383/4,537,860,315,330.20 = 1,302,886,158,660.20/x - Step 3: Cross multiply
3,023,088,893,383x = 4,537,860,315,330.20 × 1,302,886,158,660.20 - Step 4: Simplify right side
3,023,088,893,383x = 5,912,315,394,777,127,883,636,736 - Step 5: Solve for x
x = 5,912,315,394,777,127,883,636,736/3,023,088,893,383 - Step 6: Final answer
x = 1,955,719,994,776.91
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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.