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Finding the Fourth Proportional to 7,175,325,821.40, 10,762,988,732.10 and 7,175,325,821.40

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Solution

The fourth proportional to 7,175,325,821.40, 10,762,988,732.10 and 7,175,325,821.40 is: 10,762,988,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175,325,821.40 : 10,762,988,732.10 = 7,175,325,821.40 : x
  2. Step 2: Convert to fraction form
    7,175,325,821.40/10,762,988,732.10 = 7,175,325,821.40/x
  3. Step 3: Cross multiply
    7,175,325,821.40x = 10,762,988,732.10 × 7,175,325,821.40
  4. Step 4: Simplify right side
    7,175,325,821.40x = 77,227,950,964,874,379,264
  5. Step 5: Solve for x
    x = 77,227,950,964,874,379,264/7,175,325,821.40
  6. Step 6: Final answer
    x = 10,762,988,732.10

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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.