Finding the Fourth Proportional to 25,999,008,404,121, 35,878,654,677,958 and 14,293,422,065,128
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Solution
The fourth proportional to 25,999,008,404,121, 35,878,654,677,958 and 14,293,422,065,128 is: 19,724,935,138,670.38
Step by Step Solution
- Step 1: Write the proportion equation
25,999,008,404,121 : 35,878,654,677,958 = 14,293,422,065,128 : x - Step 2: Convert to fraction form
25,999,008,404,121/35,878,654,677,958 = 14,293,422,065,128/x - Step 3: Cross multiply
25,999,008,404,121x = 35,878,654,677,958 × 14,293,422,065,128 - Step 4: Simplify right side
25,999,008,404,121x = 512,828,754,441,032,801,001,144,320 - Step 5: Solve for x
x = 512,828,754,441,032,801,001,144,320/25,999,008,404,121 - Step 6: Final answer
x = 19,724,935,138,670.38
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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.