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Finding the Fourth Proportional to 105,462,005.10, 147,747,584.10 and 105,462,005.10

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Solution

The fourth proportional to 105,462,005.10, 147,747,584.10 and 105,462,005.10 is: 147,747,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,462,005.10 : 147,747,584.10 = 105,462,005.10 : x
  2. Step 2: Convert to fraction form
    105,462,005.10/147,747,584.10 = 105,462,005.10/x
  3. Step 3: Cross multiply
    105,462,005.10x = 147,747,584.10 × 105,462,005.10
  4. Step 4: Simplify right side
    105,462,005.10x = 15,581,756,467,866,878
  5. Step 5: Solve for x
    x = 15,581,756,467,866,878/105,462,005.10
  6. Step 6: Final answer
    x = 147,747,584.10

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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.