Finding the Fourth Proportional to 100,649,798,387.40, 138,899,673,671.34 and 54,927,025,992.84
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Solution
The fourth proportional to 100,649,798,387.40, 138,899,673,671.34 and 54,927,025,992.84 is: 75,800,906,791.46
Step by Step Solution
- Step 1: Write the proportion equation
100,649,798,387.40 : 138,899,673,671.34 = 54,927,025,992.84 : x - Step 2: Convert to fraction form
100,649,798,387.40/138,899,673,671.34 = 54,927,025,992.84/x - Step 3: Cross multiply
100,649,798,387.40x = 138,899,673,671.34 × 54,927,025,992.84 - Step 4: Simplify right side
100,649,798,387.40x = 7,629,345,986,142,685,626,368 - Step 5: Solve for x
x = 7,629,345,986,142,685,626,368/100,649,798,387.40 - Step 6: Final answer
x = 75,800,906,791.46
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.