Finding the Fourth Proportional to 2,217,287,201,538.90, 3,326,306,281,398.30 and 764,755,453,633.65
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Solution
The fourth proportional to 2,217,287,201,538.90, 3,326,306,281,398.30 and 764,755,453,633.65 is: 1,147,262,685,406.61
Step by Step Solution
- Step 1: Write the proportion equation
2,217,287,201,538.90 : 3,326,306,281,398.30 = 764,755,453,633.65 : x - Step 2: Convert to fraction form
2,217,287,201,538.90/3,326,306,281,398.30 = 764,755,453,633.65/x - Step 3: Cross multiply
2,217,287,201,538.90x = 3,326,306,281,398.30 × 764,755,453,633.65 - Step 4: Simplify right side
2,217,287,201,538.90x = 2,543,810,869,155,216,098,328,576 - Step 5: Solve for x
x = 2,543,810,869,155,216,098,328,576/2,217,287,201,538.90 - Step 6: Final answer
x = 1,147,262,685,406.61
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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.