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Finding the Fourth Proportional to 105,462,002.10, 147,747,579.90 and 105,462,002.10

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Solution

The fourth proportional to 105,462,002.10, 147,747,579.90 and 105,462,002.10 is: 147,747,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,462,002.10 : 147,747,579.90 = 105,462,002.10 : x
  2. Step 2: Convert to fraction form
    105,462,002.10/147,747,579.90 = 105,462,002.10/x
  3. Step 3: Cross multiply
    105,462,002.10x = 147,747,579.90 × 105,462,002.10
  4. Step 4: Simplify right side
    105,462,002.10x = 15,581,755,581,683,718
  5. Step 5: Solve for x
    x = 15,581,755,581,683,718/105,462,002.10
  6. Step 6: Final answer
    x = 147,747,579.90

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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.