Finding the Fourth Proportional to 4,834,302,692,477, 6,671,922,730,844.80 and 2,751,430,806,578.20
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Solution
The fourth proportional to 4,834,302,692,477, 6,671,922,730,844.80 and 2,751,430,806,578.20 is: 3,797,307,472,972.86
Step by Step Solution
- Step 1: Write the proportion equation
4,834,302,692,477 : 6,671,922,730,844.80 = 2,751,430,806,578.20 : x - Step 2: Convert to fraction form
4,834,302,692,477/6,671,922,730,844.80 = 2,751,430,806,578.20/x - Step 3: Cross multiply
4,834,302,692,477x = 6,671,922,730,844.80 × 2,751,430,806,578.20 - Step 4: Simplify right side
4,834,302,692,477x = 18,357,333,740,755,734,627,352,576 - Step 5: Solve for x
x = 18,357,333,740,755,734,627,352,576/4,834,302,692,477 - Step 6: Final answer
x = 3,797,307,472,972.86
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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.