Finding the Fourth Proportional to 1,603,981,232,856.80, 2,406,961,471,508.80 and 743,294,975,709.06
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Solution
The fourth proportional to 1,603,981,232,856.80, 2,406,961,471,508.80 and 743,294,975,709.06 is: 1,115,401,060,716.46
Step by Step Solution
- Step 1: Write the proportion equation
1,603,981,232,856.80 : 2,406,961,471,508.80 = 743,294,975,709.06 : x - Step 2: Convert to fraction form
1,603,981,232,856.80/2,406,961,471,508.80 = 743,294,975,709.06/x - Step 3: Cross multiply
1,603,981,232,856.80x = 2,406,961,471,508.80 × 743,294,975,709.06 - Step 4: Simplify right side
1,603,981,232,856.80x = 1,789,082,368,497,776,785,883,136 - Step 5: Solve for x
x = 1,789,082,368,497,776,785,883,136/1,603,981,232,856.80 - Step 6: Final answer
x = 1,115,401,060,716.46
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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.