Finding the Fourth Proportional to 23,616,565,639,896, 35,386,164,017,036 and 12,577,677,572,009
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Solution
The fourth proportional to 23,616,565,639,896, 35,386,164,017,036 and 12,577,677,572,009 is: 18,845,913,851,446.25
Step by Step Solution
- Step 1: Write the proportion equation
23,616,565,639,896 : 35,386,164,017,036 = 12,577,677,572,009 : x - Step 2: Convert to fraction form
23,616,565,639,896/35,386,164,017,036 = 12,577,677,572,009/x - Step 3: Cross multiply
23,616,565,639,896x = 35,386,164,017,036 × 12,577,677,572,009 - Step 4: Simplify right side
23,616,565,639,896x = 445,075,761,516,505,595,794,948,096 - Step 5: Solve for x
x = 445,075,761,516,505,595,794,948,096/23,616,565,639,896 - Step 6: Final answer
x = 18,845,913,851,446.25
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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.