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Finding the Fourth Proportional to 403,622,390.40, 605,433,585.60 and 403,622,390.40

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Solution

The fourth proportional to 403,622,390.40, 605,433,585.60 and 403,622,390.40 is: 605,433,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,622,390.40 : 605,433,585.60 = 403,622,390.40 : x
  2. Step 2: Convert to fraction form
    403,622,390.40/605,433,585.60 = 403,622,390.40/x
  3. Step 3: Cross multiply
    403,622,390.40x = 605,433,585.60 × 403,622,390.40
  4. Step 4: Simplify right side
    403,622,390.40x = 244,366,551,048,315,008
  5. Step 5: Solve for x
    x = 244,366,551,048,315,008/403,622,390.40
  6. Step 6: Final answer
    x = 605,433,585.60

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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.