Finding the Fourth Proportional to 16,400,661,454,350, 24,583,771,212,056 and 5,518,137,027,903
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Solution
The fourth proportional to 16,400,661,454,350, 24,583,771,212,056 and 5,518,137,027,903 is: 8,271,411,405,468.74
Step by Step Solution
- Step 1: Write the proportion equation
16,400,661,454,350 : 24,583,771,212,056 = 5,518,137,027,903 : x - Step 2: Convert to fraction form
16,400,661,454,350/24,583,771,212,056 = 5,518,137,027,903/x - Step 3: Cross multiply
16,400,661,454,350x = 24,583,771,212,056 × 5,518,137,027,903 - Step 4: Simplify right side
16,400,661,454,350x = 135,656,618,210,742,034,466,078,720 - Step 5: Solve for x
x = 135,656,618,210,742,034,466,078,720/16,400,661,454,350 - Step 6: Final answer
x = 8,271,411,405,468.74
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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.