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Finding the Fourth Proportional to 677,729,615.60, 1,016,594,423.40 and 677,729,615.60

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Solution

The fourth proportional to 677,729,615.60, 1,016,594,423.40 and 677,729,615.60 is: 1,016,594,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,729,615.60 : 1,016,594,423.40 = 677,729,615.60 : x
  2. Step 2: Convert to fraction form
    677,729,615.60/1,016,594,423.40 = 677,729,615.60/x
  3. Step 3: Cross multiply
    677,729,615.60x = 1,016,594,423.40 × 677,729,615.60
  4. Step 4: Simplify right side
    677,729,615.60x = 688,976,147,791,985,664
  5. Step 5: Solve for x
    x = 688,976,147,791,985,664/677,729,615.60
  6. Step 6: Final answer
    x = 1,016,594,423.40

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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.