Finding the Fourth Proportional to 107,169,532,267.74, 160,758,734,801.76 and 31,622,681,511.54
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Solution
The fourth proportional to 107,169,532,267.74, 160,758,734,801.76 and 31,622,681,511.54 is: 47,435,331,322.84
Step by Step Solution
- Step 1: Write the proportion equation
107,169,532,267.74 : 160,758,734,801.76 = 31,622,681,511.54 : x - Step 2: Convert to fraction form
107,169,532,267.74/160,758,734,801.76 = 31,622,681,511.54/x - Step 3: Cross multiply
107,169,532,267.74x = 160,758,734,801.76 × 31,622,681,511.54 - Step 4: Simplify right side
107,169,532,267.74x = 5,083,622,270,834,177,998,848 - Step 5: Solve for x
x = 5,083,622,270,834,177,998,848/107,169,532,267.74 - Step 6: Final answer
x = 47,435,331,322.84
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1.5x scale
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.