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Finding the Fourth Proportional to 7,665,833,428.30, 11,498,750,142.45 and 7,665,833,428.30

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Solution

The fourth proportional to 7,665,833,428.30, 11,498,750,142.45 and 7,665,833,428.30 is: 11,498,750,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665,833,428.30 : 11,498,750,142.45 = 7,665,833,428.30 : x
  2. Step 2: Convert to fraction form
    7,665,833,428.30/11,498,750,142.45 = 7,665,833,428.30/x
  3. Step 3: Cross multiply
    7,665,833,428.30x = 11,498,750,142.45 × 7,665,833,428.30
  4. Step 4: Simplify right side
    7,665,833,428.30x = 88,147,503,225,662,603,264
  5. Step 5: Solve for x
    x = 88,147,503,225,662,603,264/7,665,833,428.30
  6. Step 6: Final answer
    x = 11,498,750,142.45

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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.