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Finding the Fourth Proportional to 498,636,015.10, 747,954,022.65 and 498,636,015.10

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Solution

The fourth proportional to 498,636,015.10, 747,954,022.65 and 498,636,015.10 is: 747,954,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,015.10 : 747,954,022.65 = 498,636,015.10 : x
  2. Step 2: Convert to fraction form
    498,636,015.10/747,954,022.65 = 498,636,015.10/x
  3. Step 3: Cross multiply
    498,636,015.10x = 747,954,022.65 × 498,636,015.10
  4. Step 4: Simplify right side
    498,636,015.10x = 372,956,813,332,211,136
  5. Step 5: Solve for x
    x = 372,956,813,332,211,136/498,636,015.10
  6. Step 6: Final answer
    x = 747,954,022.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.