Finding the Fourth Proportional to 1,065,201,847, 1,470,023,946.63 and 595,303,154.14
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Solution
The fourth proportional to 1,065,201,847, 1,470,023,946.63 and 595,303,154.14 is: 821,543,723.90
Step by Step Solution
- Step 1: Write the proportion equation
1,065,201,847 : 1,470,023,946.63 = 595,303,154.14 : x - Step 2: Convert to fraction form
1,065,201,847/1,470,023,946.63 = 595,303,154.14/x - Step 3: Cross multiply
1,065,201,847x = 1,470,023,946.63 × 595,303,154.14 - Step 4: Simplify right side
1,065,201,847x = 875,109,892,090,170,112 - Step 5: Solve for x
x = 875,109,892,090,170,112/1,065,201,847 - Step 6: Final answer
x = 821,543,723.90
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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.