Finding the Fourth Proportional to 1,450,260,567,634.10, 2,001,365,805,396.30 and 791,081,009,097.66
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Solution
The fourth proportional to 1,450,260,567,634.10, 2,001,365,805,396.30 and 791,081,009,097.66 is: 1,091,695,186,534.17
Step by Step Solution
- Step 1: Write the proportion equation
1,450,260,567,634.10 : 2,001,365,805,396.30 = 791,081,009,097.66 : x - Step 2: Convert to fraction form
1,450,260,567,634.10/2,001,365,805,396.30 = 791,081,009,097.66/x - Step 3: Cross multiply
1,450,260,567,634.10x = 2,001,365,805,396.30 × 791,081,009,097.66 - Step 4: Simplify right side
1,450,260,567,634.10x = 1,583,242,480,906,456,067,473,408 - Step 5: Solve for x
x = 1,583,242,480,906,456,067,473,408/1,450,260,567,634.10 - Step 6: Final answer
x = 1,091,695,186,534.17
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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.