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Finding the Fourth Proportional to 967,752,681.60, 1,451,629,022.40 and 967,752,681.60

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Solution

The fourth proportional to 967,752,681.60, 1,451,629,022.40 and 967,752,681.60 is: 1,451,629,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,752,681.60 : 1,451,629,022.40 = 967,752,681.60 : x
  2. Step 2: Convert to fraction form
    967,752,681.60/1,451,629,022.40 = 967,752,681.60/x
  3. Step 3: Cross multiply
    967,752,681.60x = 1,451,629,022.40 × 967,752,681.60
  4. Step 4: Simplify right side
    967,752,681.60x = 1,404,817,879,115,986,688
  5. Step 5: Solve for x
    x = 1,404,817,879,115,986,688/967,752,681.60
  6. Step 6: Final answer
    x = 1,451,629,022.40

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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.