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Finding the Fourth Proportional to 980,136,387.70, 1,470,204,581.55 and 980,136,387.70

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Solution

The fourth proportional to 980,136,387.70, 1,470,204,581.55 and 980,136,387.70 is: 1,470,204,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,136,387.70 : 1,470,204,581.55 = 980,136,387.70 : x
  2. Step 2: Convert to fraction form
    980,136,387.70/1,470,204,581.55 = 980,136,387.70/x
  3. Step 3: Cross multiply
    980,136,387.70x = 1,470,204,581.55 × 980,136,387.70
  4. Step 4: Simplify right side
    980,136,387.70x = 1,441,001,007,740,407,040
  5. Step 5: Solve for x
    x = 1,441,001,007,740,407,040/980,136,387.70
  6. Step 6: Final answer
    x = 1,470,204,581.55

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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.