Finding the Fourth Proportional to 13,176,885,175.40, 18,177,377,750.52 and 8,414,153,448.68
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Solution
The fourth proportional to 13,176,885,175.40, 18,177,377,750.52 and 8,414,153,448.68 is: 11,607,238,254.84
Step by Step Solution
- Step 1: Write the proportion equation
13,176,885,175.40 : 18,177,377,750.52 = 8,414,153,448.68 : x - Step 2: Convert to fraction form
13,176,885,175.40/18,177,377,750.52 = 8,414,153,448.68/x - Step 3: Cross multiply
13,176,885,175.40x = 18,177,377,750.52 × 8,414,153,448.68 - Step 4: Simplify right side
13,176,885,175.40x = 152,947,245,687,496,966,144 - Step 5: Solve for x
x = 152,947,245,687,496,966,144/13,176,885,175.40 - Step 6: Final answer
x = 11,607,238,254.84
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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.