Finding the Fourth Proportional to 942,493,670,146.41, 1,413,939,056,990 and 305,736,348,189.57
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Solution
The fourth proportional to 942,493,670,146.41, 1,413,939,056,990 and 305,736,348,189.57 is: 458,668,930,667.27
Step by Step Solution
- Step 1: Write the proportion equation
942,493,670,146.41 : 1,413,939,056,990 = 305,736,348,189.57 : x - Step 2: Convert to fraction form
942,493,670,146.41/1,413,939,056,990 = 305,736,348,189.57/x - Step 3: Cross multiply
942,493,670,146.41x = 1,413,939,056,990 × 305,736,348,189.57 - Step 4: Simplify right side
942,493,670,146.41x = 432,292,563,846,726,888,194,048 - Step 5: Solve for x
x = 432,292,563,846,726,888,194,048/942,493,670,146.41 - Step 6: Final answer
x = 458,668,930,667.27
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.