Finding the Fourth Proportional to 201,749,401,309.39, 278,415,432,916.07 and 110,298,149,180.14
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Solution
The fourth proportional to 201,749,401,309.39, 278,415,432,916.07 and 110,298,149,180.14 is: 152,212,134,234.48
Step by Step Solution
- Step 1: Write the proportion equation
201,749,401,309.39 : 278,415,432,916.07 = 110,298,149,180.14 : x - Step 2: Convert to fraction form
201,749,401,309.39/278,415,432,916.07 = 110,298,149,180.14/x - Step 3: Cross multiply
201,749,401,309.39x = 278,415,432,916.07 × 110,298,149,180.14 - Step 4: Simplify right side
201,749,401,309.39x = 30,708,706,953,829,948,588,032 - Step 5: Solve for x
x = 30,708,706,953,829,948,588,032/201,749,401,309.39 - Step 6: Final answer
x = 152,212,134,234.48
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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.