Finding the Fourth Proportional to 1,257,182,475,418.20, 1,735,234,613,441.50 and 818,812,238,813.70
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Solution
The fourth proportional to 1,257,182,475,418.20, 1,735,234,613,441.50 and 818,812,238,813.70 is: 1,130,171,129,872.31
Step by Step Solution
- Step 1: Write the proportion equation
1,257,182,475,418.20 : 1,735,234,613,441.50 = 818,812,238,813.70 : x - Step 2: Convert to fraction form
1,257,182,475,418.20/1,735,234,613,441.50 = 818,812,238,813.70/x - Step 3: Cross multiply
1,257,182,475,418.20x = 1,735,234,613,441.50 × 818,812,238,813.70 - Step 4: Simplify right side
1,257,182,475,418.20x = 1,420,831,338,699,059,695,190,016 - Step 5: Solve for x
x = 1,420,831,338,699,059,695,190,016/1,257,182,475,418.20 - Step 6: Final answer
x = 1,130,171,129,872.31
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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.