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Finding the Fourth Proportional to 21,568,300,814.30, 32,304,078,280.65 and 21,568,300,814.30

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Solution

The fourth proportional to 21,568,300,814.30, 32,304,078,280.65 and 21,568,300,814.30 is: 32,304,078,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568,300,814.30 : 32,304,078,280.65 = 21,568,300,814.30 : x
  2. Step 2: Convert to fraction form
    21,568,300,814.30/32,304,078,280.65 = 21,568,300,814.30/x
  3. Step 3: Cross multiply
    21,568,300,814.30x = 32,304,078,280.65 × 21,568,300,814.30
  4. Step 4: Simplify right side
    21,568,300,814.30x = 696,744,077,885,754,310,656
  5. Step 5: Solve for x
    x = 696,744,077,885,754,310,656/21,568,300,814.30
  6. Step 6: Final answer
    x = 32,304,078,280.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.