Finding the Fourth Proportional to 1,531,634,561.97, 2,113,599,893 and 853,416,470.65
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Solution
The fourth proportional to 1,531,634,561.97, 2,113,599,893 and 853,416,470.65 is: 1,177,683,636.71
Step by Step Solution
- Step 1: Write the proportion equation
1,531,634,561.97 : 2,113,599,893 = 853,416,470.65 : x - Step 2: Convert to fraction form
1,531,634,561.97/2,113,599,893 = 853,416,470.65/x - Step 3: Cross multiply
1,531,634,561.97x = 2,113,599,893 × 853,416,470.65 - Step 4: Simplify right side
1,531,634,561.97x = 1,803,780,961,050,277,632 - Step 5: Solve for x
x = 1,803,780,961,050,277,632/1,531,634,561.97 - Step 6: Final answer
x = 1,177,683,636.71
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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.