Finding the Fourth Proportional to 178,156,750,933.61, 245,865,149,475.26 and 110,513,133,554.21
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Solution
The fourth proportional to 178,156,750,933.61, 245,865,149,475.26 and 110,513,133,554.21 is: 152,513,603,654.63
Step by Step Solution
- Step 1: Write the proportion equation
178,156,750,933.61 : 245,865,149,475.26 = 110,513,133,554.21 : x - Step 2: Convert to fraction form
178,156,750,933.61/245,865,149,475.26 = 110,513,133,554.21/x - Step 3: Cross multiply
178,156,750,933.61x = 245,865,149,475.26 × 110,513,133,554.21 - Step 4: Simplify right side
178,156,750,933.61x = 27,171,328,100,285,217,243,136 - Step 5: Solve for x
x = 27,171,328,100,285,217,243,136/178,156,750,933.61 - Step 6: Final answer
x = 152,513,603,654.63
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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.