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Finding the Fourth Proportional to 6,576,603,257.40, 9,864,904,886.10 and 6,576,603,257.40

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Solution

The fourth proportional to 6,576,603,257.40, 9,864,904,886.10 and 6,576,603,257.40 is: 9,864,904,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,603,257.40 : 9,864,904,886.10 = 6,576,603,257.40 : x
  2. Step 2: Convert to fraction form
    6,576,603,257.40/9,864,904,886.10 = 6,576,603,257.40/x
  3. Step 3: Cross multiply
    6,576,603,257.40x = 9,864,904,886.10 × 6,576,603,257.40
  4. Step 4: Simplify right side
    6,576,603,257.40x = 64,877,565,607,866,433,536
  5. Step 5: Solve for x
    x = 64,877,565,607,866,433,536/6,576,603,257.40
  6. Step 6: Final answer
    x = 9,864,904,886.10

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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.