Finding the Fourth Proportional to 1,491,275,537,562.20, 2,058,519,888,420.50 and 977,474,443,276.80
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Solution
The fourth proportional to 1,491,275,537,562.20, 2,058,519,888,420.50 and 977,474,443,276.80 is: 1,349,281,558,790.49
Step by Step Solution
- Step 1: Write the proportion equation
1,491,275,537,562.20 : 2,058,519,888,420.50 = 977,474,443,276.80 : x - Step 2: Convert to fraction form
1,491,275,537,562.20/2,058,519,888,420.50 = 977,474,443,276.80/x - Step 3: Cross multiply
1,491,275,537,562.20x = 2,058,519,888,420.50 × 977,474,443,276.80 - Step 4: Simplify right side
1,491,275,537,562.20x = 2,012,150,581,908,048,753,721,344 - Step 5: Solve for x
x = 2,012,150,581,908,048,753,721,344/1,491,275,537,562.20 - Step 6: Final answer
x = 1,349,281,558,790.49
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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.