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Finding the Fourth Proportional to 14,656,404,976.20, 21,984,607,464.30 and 14,656,404,976.20

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Solution

The fourth proportional to 14,656,404,976.20, 21,984,607,464.30 and 14,656,404,976.20 is: 21,984,607,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656,404,976.20 : 21,984,607,464.30 = 14,656,404,976.20 : x
  2. Step 2: Convert to fraction form
    14,656,404,976.20/21,984,607,464.30 = 14,656,404,976.20/x
  3. Step 3: Cross multiply
    14,656,404,976.20x = 21,984,607,464.30 × 14,656,404,976.20
  4. Step 4: Simplify right side
    14,656,404,976.20x = 322,215,310,239,570,198,528
  5. Step 5: Solve for x
    x = 322,215,310,239,570,198,528/14,656,404,976.20
  6. Step 6: Final answer
    x = 21,984,607,464.30

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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.