Finding the Fourth Proportional to 48,601,912,347,166, 67,070,688,677,410 and 26,379,214,778,544
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Solution
The fourth proportional to 48,601,912,347,166, 67,070,688,677,410 and 26,379,214,778,544 is: 36,403,343,336,127.48
Step by Step Solution
- Step 1: Write the proportion equation
48,601,912,347,166 : 67,070,688,677,410 = 26,379,214,778,544 : x - Step 2: Convert to fraction form
48,601,912,347,166/67,070,688,677,410 = 26,379,214,778,544/x - Step 3: Cross multiply
48,601,912,347,166x = 67,070,688,677,410 × 26,379,214,778,544 - Step 4: Simplify right side
48,601,912,347,166x = 1,769,272,101,966,257,505,259,487,232 - Step 5: Solve for x
x = 1,769,272,101,966,257,505,259,487,232/48,601,912,347,166 - Step 6: Final answer
x = 36,403,343,336,127.48
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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.