Finding the Fourth Proportional to 11,395,095,305.12, 15,725,323,851.84 and 6,314,544,104.18
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Solution
The fourth proportional to 11,395,095,305.12, 15,725,323,851.84 and 6,314,544,104.18 is: 8,714,122,028.48
Step by Step Solution
- Step 1: Write the proportion equation
11,395,095,305.12 : 15,725,323,851.84 = 6,314,544,104.18 : x - Step 2: Convert to fraction form
11,395,095,305.12/15,725,323,851.84 = 6,314,544,104.18/x - Step 3: Cross multiply
11,395,095,305.12x = 15,725,323,851.84 × 6,314,544,104.18 - Step 4: Simplify right side
11,395,095,305.12x = 99,298,251,014,957,400,064 - Step 5: Solve for x
x = 99,298,251,014,957,400,064/11,395,095,305.12 - Step 6: Final answer
x = 8,714,122,028.48
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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.