Finding the Fourth Proportional to 100,864,208,707.26, 151,296,600,283.30 and 29,159,560,095
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Solution
The fourth proportional to 100,864,208,707.26, 151,296,600,283.30 and 29,159,560,095 is: 43,739,423,177.69
Step by Step Solution
- Step 1: Write the proportion equation
100,864,208,707.26 : 151,296,600,283.30 = 29,159,560,095 : x - Step 2: Convert to fraction form
100,864,208,707.26/151,296,600,283.30 = 29,159,560,095/x - Step 3: Cross multiply
100,864,208,707.26x = 151,296,600,283.30 × 29,159,560,095 - Step 4: Simplify right side
100,864,208,707.26x = 4,411,742,308,130,079,899,648 - Step 5: Solve for x
x = 4,411,742,308,130,079,899,648/100,864,208,707.26 - Step 6: Final answer
x = 43,739,423,177.69
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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.