Finding the Fourth Proportional to 3,746,225,010,663, 5,618,247,374,453.40 and 1,450,977,536,181.40
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Solution
The fourth proportional to 3,746,225,010,663, 5,618,247,374,453.40 and 1,450,977,536,181.40 is: 2,176,044,073,657.84
Step by Step Solution
- Step 1: Write the proportion equation
3,746,225,010,663 : 5,618,247,374,453.40 = 1,450,977,536,181.40 : x - Step 2: Convert to fraction form
3,746,225,010,663/5,618,247,374,453.40 = 1,450,977,536,181.40/x - Step 3: Cross multiply
3,746,225,010,663x = 5,618,247,374,453.40 × 1,450,977,536,181.40 - Step 4: Simplify right side
3,746,225,010,663x = 8,151,950,733,042,014,144,692,224 - Step 5: Solve for x
x = 8,151,950,733,042,014,144,692,224/3,746,225,010,663 - Step 6: Final answer
x = 2,176,044,073,657.84
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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.