Finding the Fourth Proportional to 11,125,785,756,370, 16,688,678,634,555 and 11,125,785,756,370
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Solution
The fourth proportional to 11,125,785,756,370, 16,688,678,634,555 and 11,125,785,756,370 is: 16,688,678,634,555
Step by Step Solution
- Step 1: Write the proportion equation
11,125,785,756,370 : 16,688,678,634,555 = 11,125,785,756,370 : x - Step 2: Convert to fraction form
11,125,785,756,370/16,688,678,634,555 = 11,125,785,756,370/x - Step 3: Cross multiply
11,125,785,756,370x = 16,688,678,634,555 × 11,125,785,756,370 - Step 4: Simplify right side
11,125,785,756,370x = 185,674,663,044,968,359,158,349,824 - Step 5: Solve for x
x = 185,674,663,044,968,359,158,349,824/11,125,785,756,370 - Step 6: Final answer
x = 16,688,678,634,555
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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.