Finding the Fourth Proportional to 649,134,013,862.58, 973,850,610,401.92 and 224,662,283,847.60
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Solution
The fourth proportional to 649,134,013,862.58, 973,850,610,401.92 and 224,662,283,847.60 is: 337,045,198,043.79
Step by Step Solution
- Step 1: Write the proportion equation
649,134,013,862.58 : 973,850,610,401.92 = 224,662,283,847.60 : x - Step 2: Convert to fraction form
649,134,013,862.58/973,850,610,401.92 = 224,662,283,847.60/x - Step 3: Cross multiply
649,134,013,862.58x = 973,850,610,401.92 × 224,662,283,847.60 - Step 4: Simplify right side
649,134,013,862.58x = 218,787,502,259,274,694,787,072 - Step 5: Solve for x
x = 218,787,502,259,274,694,787,072/649,134,013,862.58 - Step 6: Final answer
x = 337,045,198,043.79
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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.