Finding the Fourth Proportional to 457,104,991,901.68, 685,204,587,114.30 and 214,648,080,347.92
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Solution
The fourth proportional to 457,104,991,901.68, 685,204,587,114.30 and 214,648,080,347.92 is: 321,759,446,681.58
Step by Step Solution
- Step 1: Write the proportion equation
457,104,991,901.68 : 685,204,587,114.30 = 214,648,080,347.92 : x - Step 2: Convert to fraction form
457,104,991,901.68/685,204,587,114.30 = 214,648,080,347.92/x - Step 3: Cross multiply
457,104,991,901.68x = 685,204,587,114.30 × 214,648,080,347.92 - Step 4: Simplify right side
457,104,991,901.68x = 147,077,849,269,673,626,959,872 - Step 5: Solve for x
x = 147,077,849,269,673,626,959,872/457,104,991,901.68 - Step 6: Final answer
x = 321,759,446,681.58
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.