Finding the Fourth Proportional to 1,766,884,785,657.70, 2,651,092,551,469.50 and 949,103,309,756.40
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Solution
The fourth proportional to 1,766,884,785,657.70, 2,651,092,551,469.50 and 949,103,309,756.40 is: 1,424,066,093,892.84
Step by Step Solution
- Step 1: Write the proportion equation
1,766,884,785,657.70 : 2,651,092,551,469.50 = 949,103,309,756.40 : x - Step 2: Convert to fraction form
1,766,884,785,657.70/2,651,092,551,469.50 = 949,103,309,756.40/x - Step 3: Cross multiply
1,766,884,785,657.70x = 2,651,092,551,469.50 × 949,103,309,756.40 - Step 4: Simplify right side
1,766,884,785,657.70x = 2,516,160,715,070,241,750,646,784 - Step 5: Solve for x
x = 2,516,160,715,070,241,750,646,784/1,766,884,785,657.70 - Step 6: Final answer
x = 1,424,066,093,892.84
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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.