Finding the Fourth Proportional to 26,970,608,527,970, 37,219,467,314,300 and 14,638,590,137,630
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Solution
The fourth proportional to 26,970,608,527,970, 37,219,467,314,300 and 14,638,590,137,630 is: 20,201,269,340,657.43
Step by Step Solution
- Step 1: Write the proportion equation
26,970,608,527,970 : 37,219,467,314,300 = 14,638,590,137,630 : x - Step 2: Convert to fraction form
26,970,608,527,970/37,219,467,314,300 = 14,638,590,137,630/x - Step 3: Cross multiply
26,970,608,527,970x = 37,219,467,314,300 × 14,638,590,137,630 - Step 4: Simplify right side
26,970,608,527,970x = 544,840,527,154,954,112,702,873,600 - Step 5: Solve for x
x = 544,840,527,154,954,112,702,873,600/26,970,608,527,970 - Step 6: Final answer
x = 20,201,269,340,657.43
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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.