Finding the Fourth Proportional to 149,288,340,422.16, 224,091,867,435.97 and 64,340,057,225.97
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Solution
The fourth proportional to 149,288,340,422.16, 224,091,867,435.97 and 64,340,057,225.97 is: 96,578,765,186.44
Step by Step Solution
- Step 1: Write the proportion equation
149,288,340,422.16 : 224,091,867,435.97 = 64,340,057,225.97 : x - Step 2: Convert to fraction form
149,288,340,422.16/224,091,867,435.97 = 64,340,057,225.97/x - Step 3: Cross multiply
149,288,340,422.16x = 224,091,867,435.97 × 64,340,057,225.97 - Step 4: Simplify right side
149,288,340,422.16x = 14,418,083,574,704,794,238,976 - Step 5: Solve for x
x = 14,418,083,574,704,794,238,976/149,288,340,422.16 - Step 6: Final answer
x = 96,578,765,186.44
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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.