Finding the Fourth Proportional to 433,424,931,893.24, 650,221,122,662.52 and 164,793,025,344.11
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Solution
The fourth proportional to 433,424,931,893.24, 650,221,122,662.52 and 164,793,025,344.11 is: 247,221,371,133.75
Step by Step Solution
- Step 1: Write the proportion equation
433,424,931,893.24 : 650,221,122,662.52 = 164,793,025,344.11 : x - Step 2: Convert to fraction form
433,424,931,893.24/650,221,122,662.52 = 164,793,025,344.11/x - Step 3: Cross multiply
433,424,931,893.24x = 650,221,122,662.52 × 164,793,025,344.11 - Step 4: Simplify right side
433,424,931,893.24x = 107,151,905,946,200,310,808,576 - Step 5: Solve for x
x = 107,151,905,946,200,310,808,576/433,424,931,893.24 - Step 6: Final answer
x = 247,221,371,133.75
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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.