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Finding the Fourth Proportional to 686,351,052.80, 1,029,526,579.20 and 686,351,052.80

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Solution

The fourth proportional to 686,351,052.80, 1,029,526,579.20 and 686,351,052.80 is: 1,029,526,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,351,052.80 : 1,029,526,579.20 = 686,351,052.80 : x
  2. Step 2: Convert to fraction form
    686,351,052.80/1,029,526,579.20 = 686,351,052.80/x
  3. Step 3: Cross multiply
    686,351,052.80x = 1,029,526,579.20 × 686,351,052.80
  4. Step 4: Simplify right side
    686,351,052.80x = 706,616,651,519,502,592
  5. Step 5: Solve for x
    x = 706,616,651,519,502,592/686,351,052.80
  6. Step 6: Final answer
    x = 1,029,526,579.20

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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.