Finding the Fourth Proportional to 2,267,316,667,588.70, 3,403,395,232,824.20 and 977,164,616,545.10
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Solution
The fourth proportional to 2,267,316,667,588.70, 3,403,395,232,824.20 and 977,164,616,545.10 is: 1,466,789,992,405.85
Step by Step Solution
- Step 1: Write the proportion equation
2,267,316,667,588.70 : 3,403,395,232,824.20 = 977,164,616,545.10 : x - Step 2: Convert to fraction form
2,267,316,667,588.70/3,403,395,232,824.20 = 977,164,616,545.10/x - Step 3: Cross multiply
2,267,316,667,588.70x = 3,403,395,232,824.20 × 977,164,616,545.10 - Step 4: Simplify right side
2,267,316,667,588.70x = 3,325,677,397,634,080,661,569,536 - Step 5: Solve for x
x = 3,325,677,397,634,080,661,569,536/2,267,316,667,588.70 - Step 6: Final answer
x = 1,466,789,992,405.85
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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.