Finding the Fourth Proportional to 74,552,731,668.71, 102,883,083,905.25 and 42,000,335,905.49
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Solution
The fourth proportional to 74,552,731,668.71, 102,883,083,905.25 and 42,000,335,905.49 is: 57,960,640,559.96
Step by Step Solution
- Step 1: Write the proportion equation
74,552,731,668.71 : 102,883,083,905.25 = 42,000,335,905.49 : x - Step 2: Convert to fraction form
74,552,731,668.71/102,883,083,905.25 = 42,000,335,905.49/x - Step 3: Cross multiply
74,552,731,668.71x = 102,883,083,905.25 × 42,000,335,905.49 - Step 4: Simplify right side
74,552,731,668.71x = 4,321,124,083,012,697,325,568 - Step 5: Solve for x
x = 4,321,124,083,012,697,325,568/74,552,731,668.71 - Step 6: Final answer
x = 57,960,640,559.96
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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.