Finding the Fourth Proportional to 1,789,036,973,201.60, 2,683,932,400,586.70 and 580,193,125,396.68
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Solution
The fourth proportional to 1,789,036,973,201.60, 2,683,932,400,586.70 and 580,193,125,396.68 is: 870,411,931,768.58
Step by Step Solution
- Step 1: Write the proportion equation
1,789,036,973,201.60 : 2,683,932,400,586.70 = 580,193,125,396.68 : x - Step 2: Convert to fraction form
1,789,036,973,201.60/2,683,932,400,586.70 = 580,193,125,396.68/x - Step 3: Cross multiply
1,789,036,973,201.60x = 2,683,932,400,586.70 × 580,193,125,396.68 - Step 4: Simplify right side
1,789,036,973,201.60x = 1,557,199,127,849,811,887,259,648 - Step 5: Solve for x
x = 1,557,199,127,849,811,887,259,648/1,789,036,973,201.60 - Step 6: Final answer
x = 870,411,931,768.58
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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.