Finding the Fourth Proportional to 2,121,423,232,432.40, 3,182,134,845,052.80 and 509,757,113,588.66
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Solution
The fourth proportional to 2,121,423,232,432.40, 3,182,134,845,052.80 and 509,757,113,588.66 is: 764,635,669,518.96
Step by Step Solution
- Step 1: Write the proportion equation
2,121,423,232,432.40 : 3,182,134,845,052.80 = 509,757,113,588.66 : x - Step 2: Convert to fraction form
2,121,423,232,432.40/3,182,134,845,052.80 = 509,757,113,588.66/x - Step 3: Cross multiply
2,121,423,232,432.40x = 3,182,134,845,052.80 × 509,757,113,588.66 - Step 4: Simplify right side
2,121,423,232,432.40x = 1,622,115,873,664,012,872,843,264 - Step 5: Solve for x
x = 1,622,115,873,664,012,872,843,264/2,121,423,232,432.40 - Step 6: Final answer
x = 764,635,669,518.96
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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.