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Finding the Fourth Proportional to 354,292,301.60, 531,438,452.40 and 354,292,301.60

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Solution

The fourth proportional to 354,292,301.60, 531,438,452.40 and 354,292,301.60 is: 531,438,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,292,301.60 : 531,438,452.40 = 354,292,301.60 : x
  2. Step 2: Convert to fraction form
    354,292,301.60/531,438,452.40 = 354,292,301.60/x
  3. Step 3: Cross multiply
    354,292,301.60x = 531,438,452.40 × 354,292,301.60
  4. Step 4: Simplify right side
    354,292,301.60x = 188,284,552,459,538,048
  5. Step 5: Solve for x
    x = 188,284,552,459,538,048/354,292,301.60
  6. Step 6: Final answer
    x = 531,438,452.40

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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.