Finding the Fourth Proportional to 9,750,630,982.94, 13,455,872,700.74 and 5,940,153,794.28
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Solution
The fourth proportional to 9,750,630,982.94, 13,455,872,700.74 and 5,940,153,794.28 is: 8,197,413,420.58
Step by Step Solution
- Step 1: Write the proportion equation
9,750,630,982.94 : 13,455,872,700.74 = 5,940,153,794.28 : x - Step 2: Convert to fraction form
9,750,630,982.94/13,455,872,700.74 = 5,940,153,794.28/x - Step 3: Cross multiply
9,750,630,982.94x = 13,455,872,700.74 × 5,940,153,794.28 - Step 4: Simplify right side
9,750,630,982.94x = 79,929,953,278,649,384,960 - Step 5: Solve for x
x = 79,929,953,278,649,384,960/9,750,630,982.94 - Step 6: Final answer
x = 8,197,413,420.58
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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.