Finding the Fourth Proportional to 106,843,455,968.17, 160,270,338,364.84 and 35,131,382,427.05
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Solution
The fourth proportional to 106,843,455,968.17, 160,270,338,364.84 and 35,131,382,427.05 is: 52,698,768,471.93
Step by Step Solution
- Step 1: Write the proportion equation
106,843,455,968.17 : 160,270,338,364.84 = 35,131,382,427.05 : x - Step 2: Convert to fraction form
106,843,455,968.17/160,270,338,364.84 = 35,131,382,427.05/x - Step 3: Cross multiply
106,843,455,968.17x = 160,270,338,364.84 × 35,131,382,427.05 - Step 4: Simplify right side
106,843,455,968.17x = 5,630,518,548,807,095,943,168 - Step 5: Solve for x
x = 5,630,518,548,807,095,943,168/106,843,455,968.17 - Step 6: Final answer
x = 52,698,768,471.93
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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.