Finding the Fourth Proportional to 302,657,641,141.59, 417,667,580,188.44 and 165,480,560,300.07
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Solution
The fourth proportional to 302,657,641,141.59, 417,667,580,188.44 and 165,480,560,300.07 is: 228,363,192,576.47
Step by Step Solution
- Step 1: Write the proportion equation
302,657,641,141.59 : 417,667,580,188.44 = 165,480,560,300.07 : x - Step 2: Convert to fraction form
302,657,641,141.59/417,667,580,188.44 = 165,480,560,300.07/x - Step 3: Cross multiply
302,657,641,141.59x = 417,667,580,188.44 × 165,480,560,300.07 - Step 4: Simplify right side
302,657,641,141.59x = 69,115,865,188,757,474,902,016 - Step 5: Solve for x
x = 69,115,865,188,757,474,902,016/302,657,641,141.59 - Step 6: Final answer
x = 228,363,192,576.47
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1.5x scale
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.