Finding the Fourth Proportional to 2,149,759,348,602, 2,966,667,787,599.50 and 1,160,968,367,967.90
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Solution
The fourth proportional to 2,149,759,348,602, 2,966,667,787,599.50 and 1,160,968,367,967.90 is: 1,602,136,286,516.03
Step by Step Solution
- Step 1: Write the proportion equation
2,149,759,348,602 : 2,966,667,787,599.50 = 1,160,968,367,967.90 : x - Step 2: Convert to fraction form
2,149,759,348,602/2,966,667,787,599.50 = 1,160,968,367,967.90/x - Step 3: Cross multiply
2,149,759,348,602x = 2,966,667,787,599.50 × 1,160,968,367,967.90 - Step 4: Simplify right side
2,149,759,348,602x = 3,444,207,459,672,331,860,836,352 - Step 5: Solve for x
x = 3,444,207,459,672,331,860,836,352/2,149,759,348,602 - Step 6: Final answer
x = 1,602,136,286,516.03
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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.