Finding the Fourth Proportional to 171,747,700,666.47, 257,286,402,358.42 and 133,796,576,314.26
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Solution
The fourth proportional to 171,747,700,666.47, 257,286,402,358.42 and 133,796,576,314.26 is: 200,433,773,693.54
Step by Step Solution
- Step 1: Write the proportion equation
171,747,700,666.47 : 257,286,402,358.42 = 133,796,576,314.26 : x - Step 2: Convert to fraction form
171,747,700,666.47/257,286,402,358.42 = 133,796,576,314.26/x - Step 3: Cross multiply
171,747,700,666.47x = 257,286,402,358.42 × 133,796,576,314.26 - Step 4: Simplify right side
171,747,700,666.47x = 34,424,039,767,769,744,408,576 - Step 5: Solve for x
x = 34,424,039,767,769,744,408,576/171,747,700,666.47 - Step 6: Final answer
x = 200,433,773,693.54
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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.