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Finding the Fourth Proportional to 6,208,664,605.40, 9,312,996,908.12 and 6,208,664,605.40

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Solution

The fourth proportional to 6,208,664,605.40, 9,312,996,908.12 and 6,208,664,605.40 is: 9,312,996,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208,664,605.40 : 9,312,996,908.12 = 6,208,664,605.40 : x
  2. Step 2: Convert to fraction form
    6,208,664,605.40/9,312,996,908.12 = 6,208,664,605.40/x
  3. Step 3: Cross multiply
    6,208,664,605.40x = 9,312,996,908.12 × 6,208,664,605.40
  4. Step 4: Simplify right side
    6,208,664,605.40x = 57,821,274,273,644,281,856
  5. Step 5: Solve for x
    x = 57,821,274,273,644,281,856/6,208,664,605.40
  6. Step 6: Final answer
    x = 9,312,996,908.12

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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.