Finding the Fourth Proportional to 16,374,995,344.84, 24,497,865,749.76 and 12,402,522,880.52
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Solution
The fourth proportional to 16,374,995,344.84, 24,497,865,749.76 and 12,402,522,880.52 is: 18,554,835,228.15
Step by Step Solution
- Step 1: Write the proportion equation
16,374,995,344.84 : 24,497,865,749.76 = 12,402,522,880.52 : x - Step 2: Convert to fraction form
16,374,995,344.84/24,497,865,749.76 = 12,402,522,880.52/x - Step 3: Cross multiply
16,374,995,344.84x = 24,497,865,749.76 × 12,402,522,880.52 - Step 4: Simplify right side
16,374,995,344.84x = 303,835,340,485,305,630,720 - Step 5: Solve for x
x = 303,835,340,485,305,630,720/16,374,995,344.84 - Step 6: Final answer
x = 18,554,835,228.15
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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.