Finding the Fourth Proportional to 1,117,495,533,700.40, 1,542,430,767,497.10 and 727,833,101,163.05
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Solution
The fourth proportional to 1,117,495,533,700.40, 1,542,430,767,497.10 and 727,833,101,163.05 is: 1,004,596,559,880.03
Step by Step Solution
- Step 1: Write the proportion equation
1,117,495,533,700.40 : 1,542,430,767,497.10 = 727,833,101,163.05 : x - Step 2: Convert to fraction form
1,117,495,533,700.40/1,542,430,767,497.10 = 727,833,101,163.05/x - Step 3: Cross multiply
1,117,495,533,700.40x = 1,542,430,767,497.10 × 727,833,101,163.05 - Step 4: Simplify right side
1,117,495,533,700.40x = 1,122,632,168,836,717,839,646,720 - Step 5: Solve for x
x = 1,122,632,168,836,717,839,646,720/1,117,495,533,700.40 - Step 6: Final answer
x = 1,004,596,559,880.03
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.