Finding the Fourth Proportional to 195,108,156,364.48, 292,661,054,124.86 and 106,136,587,057.12
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Solution
The fourth proportional to 195,108,156,364.48, 292,661,054,124.86 and 106,136,587,057.12 is: 159,204,238,449.80
Step by Step Solution
- Step 1: Write the proportion equation
195,108,156,364.48 : 292,661,054,124.86 = 106,136,587,057.12 : x - Step 2: Convert to fraction form
195,108,156,364.48/292,661,054,124.86 = 106,136,587,057.12/x - Step 3: Cross multiply
195,108,156,364.48x = 292,661,054,124.86 × 106,136,587,057.12 - Step 4: Simplify right side
195,108,156,364.48x = 31,062,045,449,351,709,327,360 - Step 5: Solve for x
x = 31,062,045,449,351,709,327,360/195,108,156,364.48 - Step 6: Final answer
x = 159,204,238,449.80
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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.