Finding the Fourth Proportional to 11,921,363,051.09, 16,450,739,748.74 and 6,568,623,865.26
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Solution
The fourth proportional to 11,921,363,051.09, 16,450,739,748.74 and 6,568,623,865.26 is: 9,064,292,501.77
Step by Step Solution
- Step 1: Write the proportion equation
11,921,363,051.09 : 16,450,739,748.74 = 6,568,623,865.26 : x - Step 2: Convert to fraction form
11,921,363,051.09/16,450,739,748.74 = 6,568,623,865.26/x - Step 3: Cross multiply
11,921,363,051.09x = 16,450,739,748.74 × 6,568,623,865.26 - Step 4: Simplify right side
11,921,363,051.09x = 108,058,721,714,774,573,056 - Step 5: Solve for x
x = 108,058,721,714,774,573,056/11,921,363,051.09 - Step 6: Final answer
x = 9,064,292,501.77
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1.5x scale
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.