Finding the Fourth Proportional to 2,267,316,667,584.70, 3,403,395,232,818.20 and 977,164,616,541.02
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Solution
The fourth proportional to 2,267,316,667,584.70, 3,403,395,232,818.20 and 977,164,616,541.02 is: 1,466,789,992,399.73
Step by Step Solution
- Step 1: Write the proportion equation
2,267,316,667,584.70 : 3,403,395,232,818.20 = 977,164,616,541.02 : x - Step 2: Convert to fraction form
2,267,316,667,584.70/3,403,395,232,818.20 = 977,164,616,541.02/x - Step 3: Cross multiply
2,267,316,667,584.70x = 3,403,395,232,818.20 × 977,164,616,541.02 - Step 4: Simplify right side
2,267,316,667,584.70x = 3,325,677,397,614,332,401,942,528 - Step 5: Solve for x
x = 3,325,677,397,614,332,401,942,528/2,267,316,667,584.70 - Step 6: Final answer
x = 1,466,789,992,399.73
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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.