Finding the Fourth Proportional to 946,898,626,989.56, 1,420,347,913,035.70 and 436,806,474,222.96
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Solution
The fourth proportional to 946,898,626,989.56, 1,420,347,913,035.70 and 436,806,474,222.96 is: 655,209,698,672.32
Step by Step Solution
- Step 1: Write the proportion equation
946,898,626,989.56 : 1,420,347,913,035.70 = 436,806,474,222.96 : x - Step 2: Convert to fraction form
946,898,626,989.56/1,420,347,913,035.70 = 436,806,474,222.96/x - Step 3: Cross multiply
946,898,626,989.56x = 1,420,347,913,035.70 × 436,806,474,222.96 - Step 4: Simplify right side
946,898,626,989.56x = 620,417,164,063,063,599,480,832 - Step 5: Solve for x
x = 620,417,164,063,063,599,480,832/946,898,626,989.56 - Step 6: Final answer
x = 655,209,698,672.32
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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.