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Finding the Fourth Proportional to 74,313,249,530.15, 111,469,874,295.23 and 74,313,249,530.15

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Solution

The fourth proportional to 74,313,249,530.15, 111,469,874,295.23 and 74,313,249,530.15 is: 111,469,874,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313,249,530.15 : 111,469,874,295.23 = 74,313,249,530.15 : x
  2. Step 2: Convert to fraction form
    74,313,249,530.15/111,469,874,295.23 = 74,313,249,530.15/x
  3. Step 3: Cross multiply
    74,313,249,530.15x = 111,469,874,295.23 × 74,313,249,530.15
  4. Step 4: Simplify right side
    74,313,249,530.15x = 8,283,688,583,595,879,825,408
  5. Step 5: Solve for x
    x = 8,283,688,583,595,879,825,408/74,313,249,530.15
  6. Step 6: Final answer
    x = 111,469,874,295.23

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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.