Finding the Fourth Proportional to 3,133,345,558,447, 4,702,165,239,992.40 and 1,093,580,626,288.80
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Solution
The fourth proportional to 3,133,345,558,447, 4,702,165,239,992.40 and 1,093,580,626,288.80 is: 1,641,120,237,824.32
Step by Step Solution
- Step 1: Write the proportion equation
3,133,345,558,447 : 4,702,165,239,992.40 = 1,093,580,626,288.80 : x - Step 2: Convert to fraction form
3,133,345,558,447/4,702,165,239,992.40 = 1,093,580,626,288.80/x - Step 3: Cross multiply
3,133,345,558,447x = 4,702,165,239,992.40 × 1,093,580,626,288.80 - Step 4: Simplify right side
3,133,345,558,447x = 5,142,196,808,064,314,504,118,272 - Step 5: Solve for x
x = 5,142,196,808,064,314,504,118,272/3,133,345,558,447 - Step 6: Final answer
x = 1,641,120,237,824.32
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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.