Finding the Fourth Proportional to 16,116,459,280,989, 24,150,089,495,524 and 9,568,947,878,263
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Solution
The fourth proportional to 16,116,459,280,989, 24,150,089,495,524 and 9,568,947,878,263 is: 14,338,816,213,226.88
Step by Step Solution
- Step 1: Write the proportion equation
16,116,459,280,989 : 24,150,089,495,524 = 9,568,947,878,263 : x - Step 2: Convert to fraction form
16,116,459,280,989/24,150,089,495,524 = 9,568,947,878,263/x - Step 3: Cross multiply
16,116,459,280,989x = 24,150,089,495,524 × 9,568,947,878,263 - Step 4: Simplify right side
16,116,459,280,989x = 231,090,947,638,055,940,189,585,408 - Step 5: Solve for x
x = 231,090,947,638,055,940,189,585,408/16,116,459,280,989 - Step 6: Final answer
x = 14,338,816,213,226.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.