Finding the Fourth Proportional to 1,360,394,587,785.30, 1,877,344,459,336.80 and 734,675,295,352.07
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Solution
The fourth proportional to 1,360,394,587,785.30, 1,877,344,459,336.80 and 734,675,295,352.07 is: 1,013,851,868,806.84
Step by Step Solution
- Step 1: Write the proportion equation
1,360,394,587,785.30 : 1,877,344,459,336.80 = 734,675,295,352.07 : x - Step 2: Convert to fraction form
1,360,394,587,785.30/1,877,344,459,336.80 = 734,675,295,352.07/x - Step 3: Cross multiply
1,360,394,587,785.30x = 1,877,344,459,336.80 × 734,675,295,352.07 - Step 4: Simplify right side
1,360,394,587,785.30x = 1,379,238,595,140,835,732,357,120 - Step 5: Solve for x
x = 1,379,238,595,140,835,732,357,120/1,360,394,587,785.30 - Step 6: Final answer
x = 1,013,851,868,806.84
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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.