Finding the Fourth Proportional to 2,230,672,765,701.20, 3,347,537,558,505.80 and 778,535,426,303.90
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Solution
The fourth proportional to 2,230,672,765,701.20, 3,347,537,558,505.80 and 778,535,426,303.90 is: 1,168,336,575,517.56
Step by Step Solution
- Step 1: Write the proportion equation
2,230,672,765,701.20 : 3,347,537,558,505.80 = 778,535,426,303.90 : x - Step 2: Convert to fraction form
2,230,672,765,701.20/3,347,537,558,505.80 = 778,535,426,303.90/x - Step 3: Cross multiply
2,230,672,765,701.20x = 3,347,537,558,505.80 × 778,535,426,303.90 - Step 4: Simplify right side
2,230,672,765,701.20x = 2,606,176,580,179,629,369,720,832 - Step 5: Solve for x
x = 2,606,176,580,179,629,369,720,832/2,230,672,765,701.20 - Step 6: Final answer
x = 1,168,336,575,517.56
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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.