Finding the Fourth Proportional to 10,272,408,642.84, 15,382,455,256.26 and 6,768,190,309.08
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Solution
The fourth proportional to 10,272,408,642.84, 15,382,455,256.26 and 6,768,190,309.08 is: 10,135,050,913.09
Step by Step Solution
- Step 1: Write the proportion equation
10,272,408,642.84 : 15,382,455,256.26 = 6,768,190,309.08 : x - Step 2: Convert to fraction form
10,272,408,642.84/15,382,455,256.26 = 6,768,190,309.08/x - Step 3: Cross multiply
10,272,408,642.84x = 15,382,455,256.26 × 6,768,190,309.08 - Step 4: Simplify right side
10,272,408,642.84x = 104,111,384,595,275,644,928 - Step 5: Solve for x
x = 104,111,384,595,275,644,928/10,272,408,642.84 - Step 6: Final answer
x = 10,135,050,913.09
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1.5x scale
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.