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Finding the Fourth Proportional to 105,576,013.45, 148,007,972.75 and 105,576,013.45

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Solution

The fourth proportional to 105,576,013.45, 148,007,972.75 and 105,576,013.45 is: 148,007,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,576,013.45 : 148,007,972.75 = 105,576,013.45 : x
  2. Step 2: Convert to fraction form
    105,576,013.45/148,007,972.75 = 105,576,013.45/x
  3. Step 3: Cross multiply
    105,576,013.45x = 148,007,972.75 × 105,576,013.45
  4. Step 4: Simplify right side
    105,576,013.45x = 15,626,091,721,761,234
  5. Step 5: Solve for x
    x = 15,626,091,721,761,234/105,576,013.45
  6. Step 6: Final answer
    x = 148,007,972.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.