Finding the Fourth Proportional to 1,660,611,089,814.80, 2,490,664,954,280.40 and 451,955,686,220.17
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Solution
The fourth proportional to 1,660,611,089,814.80, 2,490,664,954,280.40 and 451,955,686,220.17 is: 677,865,031,409.53
Step by Step Solution
- Step 1: Write the proportion equation
1,660,611,089,814.80 : 2,490,664,954,280.40 = 451,955,686,220.17 : x - Step 2: Convert to fraction form
1,660,611,089,814.80/2,490,664,954,280.40 = 451,955,686,220.17/x - Step 3: Cross multiply
1,660,611,089,814.80x = 2,490,664,954,280.40 × 451,955,686,220.17 - Step 4: Simplify right side
1,660,611,089,814.80x = 1,125,670,188,556,326,465,961,984 - Step 5: Solve for x
x = 1,125,670,188,556,326,465,961,984/1,660,611,089,814.80 - Step 6: Final answer
x = 677,865,031,409.53
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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.