Finding the Fourth Proportional to 48,601,912,349,404, 67,070,688,680,492 and 26,379,214,780,790
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Solution
The fourth proportional to 48,601,912,349,404, 67,070,688,680,492 and 26,379,214,780,790 is: 36,403,343,339,223.48
Step by Step Solution
- Step 1: Write the proportion equation
48,601,912,349,404 : 67,070,688,680,492 = 26,379,214,780,790 : x - Step 2: Convert to fraction form
48,601,912,349,404/67,070,688,680,492 = 26,379,214,780,790/x - Step 3: Cross multiply
48,601,912,349,404x = 67,070,688,680,492 × 26,379,214,780,790 - Step 4: Simplify right side
48,601,912,349,404x = 1,769,272,102,198,199,208,260,927,488 - Step 5: Solve for x
x = 1,769,272,102,198,199,208,260,927,488/48,601,912,349,404 - Step 6: Final answer
x = 36,403,343,339,223.48
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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.