Finding the Fourth Proportional to 5,729,129,872,714, 7,909,767,951,949.60 and 3,646,926,831,947
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Solution
The fourth proportional to 5,729,129,872,714, 7,909,767,951,949.60 and 3,646,926,831,947 is: 5,035,030,732,297.64
Step by Step Solution
- Step 1: Write the proportion equation
5,729,129,872,714 : 7,909,767,951,949.60 = 3,646,926,831,947 : x - Step 2: Convert to fraction form
5,729,129,872,714/7,909,767,951,949.60 = 3,646,926,831,947/x - Step 3: Cross multiply
5,729,129,872,714x = 7,909,767,951,949.60 × 3,646,926,831,947 - Step 4: Simplify right side
5,729,129,872,714x = 28,846,344,978,439,462,170,132,480 - Step 5: Solve for x
x = 28,846,344,978,439,462,170,132,480/5,729,129,872,714 - Step 6: Final answer
x = 5,035,030,732,297.64
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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.