Finding the Fourth Proportional to 14,037,673,125,884, 19,372,011,703,031 and 7,787,538,307,785
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Solution
The fourth proportional to 14,037,673,125,884, 19,372,011,703,031 and 7,787,538,307,785 is: 10,746,815,507,339.51
Step by Step Solution
- Step 1: Write the proportion equation
14,037,673,125,884 : 19,372,011,703,031 = 7,787,538,307,785 : x - Step 2: Convert to fraction form
14,037,673,125,884/19,372,011,703,031 = 7,787,538,307,785/x - Step 3: Cross multiply
14,037,673,125,884x = 19,372,011,703,031 × 7,787,538,307,785 - Step 4: Simplify right side
14,037,673,125,884x = 150,860,283,236,213,244,420,947,968 - Step 5: Solve for x
x = 150,860,283,236,213,244,420,947,968/14,037,673,125,884 - Step 6: Final answer
x = 10,746,815,507,339.51
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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.