Finding the Fourth Proportional to 2,267,316,667,584.40, 3,403,395,232,817.60 and 977,164,616,540.75
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Solution
The fourth proportional to 2,267,316,667,584.40, 3,403,395,232,817.60 and 977,164,616,540.75 is: 1,466,789,992,399.26
Step by Step Solution
- Step 1: Write the proportion equation
2,267,316,667,584.40 : 3,403,395,232,817.60 = 977,164,616,540.75 : x - Step 2: Convert to fraction form
2,267,316,667,584.40/3,403,395,232,817.60 = 977,164,616,540.75/x - Step 3: Cross multiply
2,267,316,667,584.40x = 3,403,395,232,817.60 × 977,164,616,540.75 - Step 4: Simplify right side
2,267,316,667,584.40x = 3,325,677,397,612,827,015,905,280 - Step 5: Solve for x
x = 3,325,677,397,612,827,015,905,280/2,267,316,667,584.40 - Step 6: Final answer
x = 1,466,789,992,399.26
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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.