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Finding the Fourth Proportional to 14,656,404,947.70, 21,984,607,421.55 and 14,656,404,947.70

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Solution

The fourth proportional to 14,656,404,947.70, 21,984,607,421.55 and 14,656,404,947.70 is: 21,984,607,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656,404,947.70 : 21,984,607,421.55 = 14,656,404,947.70 : x
  2. Step 2: Convert to fraction form
    14,656,404,947.70/21,984,607,421.55 = 14,656,404,947.70/x
  3. Step 3: Cross multiply
    14,656,404,947.70x = 21,984,607,421.55 × 14,656,404,947.70
  4. Step 4: Simplify right side
    14,656,404,947.70x = 322,215,308,986,447,560,704
  5. Step 5: Solve for x
    x = 322,215,308,986,447,560,704/14,656,404,947.70
  6. Step 6: Final answer
    x = 21,984,607,421.55

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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.