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Finding the Fourth Proportional to 6,965,957,546.40, 9,779,890,466.40 and 6,965,957,546.40

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Solution

The fourth proportional to 6,965,957,546.40, 9,779,890,466.40 and 6,965,957,546.40 is: 9,779,890,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,957,546.40 : 9,779,890,466.40 = 6,965,957,546.40 : x
  2. Step 2: Convert to fraction form
    6,965,957,546.40/9,779,890,466.40 = 6,965,957,546.40/x
  3. Step 3: Cross multiply
    6,965,957,546.40x = 9,779,890,466.40 × 6,965,957,546.40
  4. Step 4: Simplify right side
    6,965,957,546.40x = 68,126,301,797,384,486,912
  5. Step 5: Solve for x
    x = 68,126,301,797,384,486,912/6,965,957,546.40
  6. Step 6: Final answer
    x = 9,779,890,466.40

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Why These Related Problems?

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