Finding the Fourth Proportional to 199,350,576,154.21, 299,026,631,000.95 and 48,256,630,284.70
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Solution
The fourth proportional to 199,350,576,154.21, 299,026,631,000.95 and 48,256,630,284.70 is: 72,385,131,038.35
Step by Step Solution
- Step 1: Write the proportion equation
199,350,576,154.21 : 299,026,631,000.95 = 48,256,630,284.70 : x - Step 2: Convert to fraction form
199,350,576,154.21/299,026,631,000.95 = 48,256,630,284.70/x - Step 3: Cross multiply
199,350,576,154.21x = 299,026,631,000.95 × 48,256,630,284.70 - Step 4: Simplify right side
199,350,576,154.21x = 14,430,017,577,492,255,080,448 - Step 5: Solve for x
x = 14,430,017,577,492,255,080,448/199,350,576,154.21 - Step 6: Final answer
x = 72,385,131,038.35
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1.5x scale
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.