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Finding the Fourth Proportional to 653,832,583,243.70, 980,748,874,865.55 and 653,832,583,243.70

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Solution

The fourth proportional to 653,832,583,243.70, 980,748,874,865.55 and 653,832,583,243.70 is: 980,748,874,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,832,583,243.70 : 980,748,874,865.55 = 653,832,583,243.70 : x
  2. Step 2: Convert to fraction form
    653,832,583,243.70/980,748,874,865.55 = 653,832,583,243.70/x
  3. Step 3: Cross multiply
    653,832,583,243.70x = 980,748,874,865.55 × 653,832,583,243.70
  4. Step 4: Simplify right side
    653,832,583,243.70x = 641,245,570,366,694,857,113,600
  5. Step 5: Solve for x
    x = 641,245,570,366,694,857,113,600/653,832,583,243.70
  6. Step 6: Final answer
    x = 980,748,874,865.55

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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.