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Finding the Fourth Proportional to 868,155,890.10, 1,303,745,489.55 and 460,009,202.10

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Solution

The fourth proportional to 868,155,890.10, 1,303,745,489.55 and 460,009,202.10 is: 690,814,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,155,890.10 : 1,303,745,489.55 = 460,009,202.10 : x
  2. Step 2: Convert to fraction form
    868,155,890.10/1,303,745,489.55 = 460,009,202.10/x
  3. Step 3: Cross multiply
    868,155,890.10x = 1,303,745,489.55 × 460,009,202.10
  4. Step 4: Simplify right side
    868,155,890.10x = 599,734,922,389,369,344
  5. Step 5: Solve for x
    x = 599,734,922,389,369,344/868,155,890.10
  6. Step 6: Final answer
    x = 690,814,782.49

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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.