Finding the Fourth Proportional to 42,633,559,311,408, 58,834,267,228,490 and 23,883,286,358,166
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Solution
The fourth proportional to 42,633,559,311,408, 58,834,267,228,490 and 23,883,286,358,166 is: 32,958,910,177,478.26
Step by Step Solution
- Step 1: Write the proportion equation
42,633,559,311,408 : 58,834,267,228,490 = 23,883,286,358,166 : x - Step 2: Convert to fraction form
42,633,559,311,408/58,834,267,228,490 = 23,883,286,358,166/x - Step 3: Cross multiply
42,633,559,311,408x = 58,834,267,228,490 × 23,883,286,358,166 - Step 4: Simplify right side
42,633,559,311,408x = 1,405,155,651,890,888,276,860,469,248 - Step 5: Solve for x
x = 1,405,155,651,890,888,276,860,469,248/42,633,559,311,408 - Step 6: Final answer
x = 32,958,910,177,478.26
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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.