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Finding the Fourth Proportional to 2,587,735,915.20, 3,881,603,872.80 and 2,587,735,915.20

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Solution

The fourth proportional to 2,587,735,915.20, 3,881,603,872.80 and 2,587,735,915.20 is: 3,881,603,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,735,915.20 : 3,881,603,872.80 = 2,587,735,915.20 : x
  2. Step 2: Convert to fraction form
    2,587,735,915.20/3,881,603,872.80 = 2,587,735,915.20/x
  3. Step 3: Cross multiply
    2,587,735,915.20x = 3,881,603,872.80 × 2,587,735,915.20
  4. Step 4: Simplify right side
    2,587,735,915.20x = 10,044,565,750,223,972,352
  5. Step 5: Solve for x
    x = 10,044,565,750,223,972,352/2,587,735,915.20
  6. Step 6: Final answer
    x = 3,881,603,872.80

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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.