Finding the Fourth Proportional to 1,289,120,504,565.30, 1,778,991,827,021.40 and 703,183,119,199.70
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Solution
The fourth proportional to 1,289,120,504,565.30, 1,778,991,827,021.40 and 703,183,119,199.70 is: 970,395,721,366.26
Step by Step Solution
- Step 1: Write the proportion equation
1,289,120,504,565.30 : 1,778,991,827,021.40 = 703,183,119,199.70 : x - Step 2: Convert to fraction form
1,289,120,504,565.30/1,778,991,827,021.40 = 703,183,119,199.70/x - Step 3: Cross multiply
1,289,120,504,565.30x = 1,778,991,827,021.40 × 703,183,119,199.70 - Step 4: Simplify right side
1,289,120,504,565.30x = 1,250,957,021,955,680,985,153,536 - Step 5: Solve for x
x = 1,250,957,021,955,680,985,153,536/1,289,120,504,565.30 - Step 6: Final answer
x = 970,395,721,366.26
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.