Finding the Fourth Proportional to 21,401,570,023,275, 32,089,217,042,262 and 8,317,056,172,092
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Solution
The fourth proportional to 21,401,570,023,275, 32,089,217,042,262 and 8,317,056,172,092 is: 12,470,478,584,921.32
Step by Step Solution
- Step 1: Write the proportion equation
21,401,570,023,275 : 32,089,217,042,262 = 8,317,056,172,092 : x - Step 2: Convert to fraction form
21,401,570,023,275/32,089,217,042,262 = 8,317,056,172,092/x - Step 3: Cross multiply
21,401,570,023,275x = 32,089,217,042,262 × 8,317,056,172,092 - Step 4: Simplify right side
21,401,570,023,275x = 266,887,820,658,944,964,328,161,280 - Step 5: Solve for x
x = 266,887,820,658,944,964,328,161,280/21,401,570,023,275 - Step 6: Final answer
x = 12,470,478,584,921.32
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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.