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Finding the Fourth Proportional to 847,083,315.20, 1,270,624,972.80 and 847,083,315.20

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Solution

The fourth proportional to 847,083,315.20, 1,270,624,972.80 and 847,083,315.20 is: 1,270,624,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,083,315.20 : 1,270,624,972.80 = 847,083,315.20 : x
  2. Step 2: Convert to fraction form
    847,083,315.20/1,270,624,972.80 = 847,083,315.20/x
  3. Step 3: Cross multiply
    847,083,315.20x = 1,270,624,972.80 × 847,083,315.20
  4. Step 4: Simplify right side
    847,083,315.20x = 1,076,325,214,335,333,888
  5. Step 5: Solve for x
    x = 1,076,325,214,335,333,888/847,083,315.20
  6. Step 6: Final answer
    x = 1,270,624,972.80

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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.