Finding the Fourth Proportional to 238,197,398,610.24, 357,401,609,455.05 and 124,850,187,160.21
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Solution
The fourth proportional to 238,197,398,610.24, 357,401,609,455.05 and 124,850,187,160.21 is: 187,330,584,180.05
Step by Step Solution
- Step 1: Write the proportion equation
238,197,398,610.24 : 357,401,609,455.05 = 124,850,187,160.21 : x - Step 2: Convert to fraction form
238,197,398,610.24/357,401,609,455.05 = 124,850,187,160.21/x - Step 3: Cross multiply
238,197,398,610.24x = 357,401,609,455.05 × 124,850,187,160.21 - Step 4: Simplify right side
238,197,398,610.24x = 44,621,657,831,823,269,429,248 - Step 5: Solve for x
x = 44,621,657,831,823,269,429,248/238,197,398,610.24 - Step 6: Final answer
x = 187,330,584,180.05
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1.5x scale
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.