Finding the Fourth Proportional to 160,512,000.30, 240,768,000.45 and 119,637,197.10
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Solution
The fourth proportional to 160,512,000.30, 240,768,000.45 and 119,637,197.10 is: 179,455,795.65
Step by Step Solution
- Step 1: Write the proportion equation
160,512,000.30 : 240,768,000.45 = 119,637,197.10 : x - Step 2: Convert to fraction form
160,512,000.30/240,768,000.45 = 119,637,197.10/x - Step 3: Cross multiply
160,512,000.30x = 240,768,000.45 × 119,637,197.10 - Step 4: Simplify right side
160,512,000.30x = 28,804,808,725,209,536 - Step 5: Solve for x
x = 28,804,808,725,209,536/160,512,000.30 - Step 6: Final answer
x = 179,455,795.65
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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.