Finding the Fourth Proportional to 782,783,709.16, 1,080,242,210.10 and 430,365,695.08
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Solution
The fourth proportional to 782,783,709.16, 1,080,242,210.10 and 430,365,695.08 is: 593,905,039.37
Step by Step Solution
- Step 1: Write the proportion equation
782,783,709.16 : 1,080,242,210.10 = 430,365,695.08 : x - Step 2: Convert to fraction form
782,783,709.16/1,080,242,210.10 = 430,365,695.08/x - Step 3: Cross multiply
782,783,709.16x = 1,080,242,210.10 × 430,365,695.08 - Step 4: Simplify right side
782,783,709.16x = 464,899,189,604,441,856 - Step 5: Solve for x
x = 464,899,189,604,441,856/782,783,709.16 - Step 6: Final answer
x = 593,905,039.37
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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.