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Finding the Fourth Proportional to 426,806,965.60, 599,142,183.20 and 426,806,965.60

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Solution

The fourth proportional to 426,806,965.60, 599,142,183.20 and 426,806,965.60 is: 599,142,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,806,965.60 : 599,142,183.20 = 426,806,965.60 : x
  2. Step 2: Convert to fraction form
    426,806,965.60/599,142,183.20 = 426,806,965.60/x
  3. Step 3: Cross multiply
    426,806,965.60x = 599,142,183.20 × 426,806,965.60
  4. Step 4: Simplify right side
    426,806,965.60x = 255,718,057,174,551,328
  5. Step 5: Solve for x
    x = 255,718,057,174,551,328/426,806,965.60
  6. Step 6: Final answer
    x = 599,142,183.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.