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Finding the Fourth Proportional to 8,551,657,354.20, 11,988,646,163.40 and 8,551,657,354.20

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Solution

The fourth proportional to 8,551,657,354.20, 11,988,646,163.40 and 8,551,657,354.20 is: 11,988,646,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551,657,354.20 : 11,988,646,163.40 = 8,551,657,354.20 : x
  2. Step 2: Convert to fraction form
    8,551,657,354.20/11,988,646,163.40 = 8,551,657,354.20/x
  3. Step 3: Cross multiply
    8,551,657,354.20x = 11,988,646,163.40 × 8,551,657,354.20
  4. Step 4: Simplify right side
    8,551,657,354.20x = 102,522,794,130,141,216,768
  5. Step 5: Solve for x
    x = 102,522,794,130,141,216,768/8,551,657,354.20
  6. Step 6: Final answer
    x = 11,988,646,163.40

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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.