Finding the Fourth Proportional to 2,121,423,232,420.60, 3,182,134,845,034.60 and 509,757,113,576.65
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Solution
The fourth proportional to 2,121,423,232,420.60, 3,182,134,845,034.60 and 509,757,113,576.65 is: 764,635,669,500.82
Step by Step Solution
- Step 1: Write the proportion equation
2,121,423,232,420.60 : 3,182,134,845,034.60 = 509,757,113,576.65 : x - Step 2: Convert to fraction form
2,121,423,232,420.60/3,182,134,845,034.60 = 509,757,113,576.65/x - Step 3: Cross multiply
2,121,423,232,420.60x = 3,182,134,845,034.60 × 509,757,113,576.65 - Step 4: Simplify right side
2,121,423,232,420.60x = 1,622,115,873,616,518,319,177,728 - Step 5: Solve for x
x = 1,622,115,873,616,518,319,177,728/2,121,423,232,420.60 - Step 6: Final answer
x = 764,635,669,500.82
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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.