Finding the Fourth Proportional to 9,564,310,884,903, 14,346,466,327,354 and 9,564,310,884,903
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Solution
The fourth proportional to 9,564,310,884,903, 14,346,466,327,354 and 9,564,310,884,903 is: 14,346,466,327,354
Step by Step Solution
- Step 1: Write the proportion equation
9,564,310,884,903 : 14,346,466,327,354 = 9,564,310,884,903 : x - Step 2: Convert to fraction form
9,564,310,884,903/14,346,466,327,354 = 9,564,310,884,903/x - Step 3: Cross multiply
9,564,310,884,903x = 14,346,466,327,354 × 9,564,310,884,903 - Step 4: Simplify right side
9,564,310,884,903x = 137,214,064,054,606,226,620,678,144 - Step 5: Solve for x
x = 137,214,064,054,606,226,620,678,144/9,564,310,884,903 - Step 6: Final answer
x = 14,346,466,327,354
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.