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Finding the Fourth Proportional to 574,428,763,350.45, 861,643,145,025.67 and 574,428,763,350.45

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Solution

The fourth proportional to 574,428,763,350.45, 861,643,145,025.67 and 574,428,763,350.45 is: 861,643,145,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,428,763,350.45 : 861,643,145,025.67 = 574,428,763,350.45 : x
  2. Step 2: Convert to fraction form
    574,428,763,350.45/861,643,145,025.67 = 574,428,763,350.45/x
  3. Step 3: Cross multiply
    574,428,763,350.45x = 861,643,145,025.67 × 574,428,763,350.45
  4. Step 4: Simplify right side
    574,428,763,350.45x = 494,952,606,246,488,063,868,928
  5. Step 5: Solve for x
    x = 494,952,606,246,488,063,868,928/574,428,763,350.45
  6. Step 6: Final answer
    x = 861,643,145,025.67

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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.