Finding the Fourth Proportional to 509,487,101.70, 764,230,652.55 and 509,487,101.70
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Solution
The fourth proportional to 509,487,101.70, 764,230,652.55 and 509,487,101.70 is: 764,230,652.55
Step by Step Solution
- Step 1: Write the proportion equation
509,487,101.70 : 764,230,652.55 = 509,487,101.70 : x - Step 2: Convert to fraction form
509,487,101.70/764,230,652.55 = 509,487,101.70/x - Step 3: Cross multiply
509,487,101.70x = 764,230,652.55 × 509,487,101.70 - Step 4: Simplify right side
509,487,101.70x = 389,365,660,197,999,168 - Step 5: Solve for x
x = 389,365,660,197,999,168/509,487,101.70 - Step 6: Final answer
x = 764,230,652.55
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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.