Finding the Fourth Proportional to 11,334,135,408.79, 15,646,122,947.64 and 7,321,762,496.32
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Solution
The fourth proportional to 11,334,135,408.79, 15,646,122,947.64 and 7,321,762,496.32 is: 10,107,272,595.49
Step by Step Solution
- Step 1: Write the proportion equation
11,334,135,408.79 : 15,646,122,947.64 = 7,321,762,496.32 : x - Step 2: Convert to fraction form
11,334,135,408.79/15,646,122,947.64 = 7,321,762,496.32/x - Step 3: Cross multiply
11,334,135,408.79x = 15,646,122,947.64 × 7,321,762,496.32 - Step 4: Simplify right side
11,334,135,408.79x = 114,557,196,210,842,271,744 - Step 5: Solve for x
x = 114,557,196,210,842,271,744/11,334,135,408.79 - Step 6: Final answer
x = 10,107,272,595.49
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1.5x scale
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.