Finding the Fourth Proportional to 13,120,947,871.44, 18,106,896,364.56 and 7,406,435,134.68
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Solution
The fourth proportional to 13,120,947,871.44, 18,106,896,364.56 and 7,406,435,134.68 is: 10,220,873,882.63
Step by Step Solution
- Step 1: Write the proportion equation
13,120,947,871.44 : 18,106,896,364.56 = 7,406,435,134.68 : x - Step 2: Convert to fraction form
13,120,947,871.44/18,106,896,364.56 = 7,406,435,134.68/x - Step 3: Cross multiply
13,120,947,871.44x = 18,106,896,364.56 × 7,406,435,134.68 - Step 4: Simplify right side
13,120,947,871.44x = 134,107,553,414,486,769,664 - Step 5: Solve for x
x = 134,107,553,414,486,769,664/13,120,947,871.44 - Step 6: Final answer
x = 10,220,873,882.63
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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.