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Finding the Fourth Proportional to 5,342,976,469.20, 7,464,878,818.80 and 5,342,976,469.20

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Solution

The fourth proportional to 5,342,976,469.20, 7,464,878,818.80 and 5,342,976,469.20 is: 7,464,878,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342,976,469.20 : 7,464,878,818.80 = 5,342,976,469.20 : x
  2. Step 2: Convert to fraction form
    5,342,976,469.20/7,464,878,818.80 = 5,342,976,469.20/x
  3. Step 3: Cross multiply
    5,342,976,469.20x = 7,464,878,818.80 × 5,342,976,469.20
  4. Step 4: Simplify right side
    5,342,976,469.20x = 39,884,671,874,277,892,096
  5. Step 5: Solve for x
    x = 39,884,671,874,277,892,096/5,342,976,469.20
  6. Step 6: Final answer
    x = 7,464,878,818.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.