Finding the Fourth Proportional to 2,230,672,765,674.10, 3,347,537,558,464.90 and 778,535,426,276.77
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Solution
The fourth proportional to 2,230,672,765,674.10, 3,347,537,558,464.90 and 778,535,426,276.77 is: 1,168,336,575,476.77
Step by Step Solution
- Step 1: Write the proportion equation
2,230,672,765,674.10 : 3,347,537,558,464.90 = 778,535,426,276.77 : x - Step 2: Convert to fraction form
2,230,672,765,674.10/3,347,537,558,464.90 = 778,535,426,276.77/x - Step 3: Cross multiply
2,230,672,765,674.10x = 3,347,537,558,464.90 × 778,535,426,276.77 - Step 4: Simplify right side
2,230,672,765,674.10x = 2,606,176,580,056,968,861,843,456 - Step 5: Solve for x
x = 2,606,176,580,056,968,861,843,456/2,230,672,765,674.10 - Step 6: Final answer
x = 1,168,336,575,476.77
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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.