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Finding the Fourth Proportional to 14,301,744,098.40, 21,452,616,147.60 and 14,301,744,098.40

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Solution

The fourth proportional to 14,301,744,098.40, 21,452,616,147.60 and 14,301,744,098.40 is: 21,452,616,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301,744,098.40 : 21,452,616,147.60 = 14,301,744,098.40 : x
  2. Step 2: Convert to fraction form
    14,301,744,098.40/21,452,616,147.60 = 14,301,744,098.40/x
  3. Step 3: Cross multiply
    14,301,744,098.40x = 21,452,616,147.60 × 14,301,744,098.40
  4. Step 4: Simplify right side
    14,301,744,098.40x = 306,809,826,384,178,839,552
  5. Step 5: Solve for x
    x = 306,809,826,384,178,839,552/14,301,744,098.40
  6. Step 6: Final answer
    x = 21,452,616,147.60

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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.