Finding the Fourth Proportional to 17,988,794,283,046, 24,824,536,110,603 and 10,289,974,325,637
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Solution
The fourth proportional to 17,988,794,283,046, 24,824,536,110,603 and 10,289,974,325,637 is: 14,200,164,569,378.79
Step by Step Solution
- Step 1: Write the proportion equation
17,988,794,283,046 : 24,824,536,110,603 = 10,289,974,325,637 : x - Step 2: Convert to fraction form
17,988,794,283,046/24,824,536,110,603 = 10,289,974,325,637/x - Step 3: Cross multiply
17,988,794,283,046x = 24,824,536,110,603 × 10,289,974,325,637 - Step 4: Simplify right side
17,988,794,283,046x = 255,443,839,223,953,453,756,710,912 - Step 5: Solve for x
x = 255,443,839,223,953,453,756,710,912/17,988,794,283,046 - Step 6: Final answer
x = 14,200,164,569,378.79
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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.