Finding the Fourth Proportional to 9,757,584,335.20, 14,636,376,502.80 and 8,288,256,258.40
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Solution
The fourth proportional to 9,757,584,335.20, 14,636,376,502.80 and 8,288,256,258.40 is: 12,432,384,387.60
Step by Step Solution
- Step 1: Write the proportion equation
9,757,584,335.20 : 14,636,376,502.80 = 8,288,256,258.40 : x - Step 2: Convert to fraction form
9,757,584,335.20/14,636,376,502.80 = 8,288,256,258.40/x - Step 3: Cross multiply
9,757,584,335.20x = 14,636,376,502.80 × 8,288,256,258.40 - Step 4: Simplify right side
9,757,584,335.20x = 121,310,039,149,630,799,872 - Step 5: Solve for x
x = 121,310,039,149,630,799,872/9,757,584,335.20 - Step 6: Final answer
x = 12,432,384,387.60
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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.