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Finding the Fourth Proportional to 868,874,429.10, 1,303,311,643.65 and 868,874,429.10

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Solution

The fourth proportional to 868,874,429.10, 1,303,311,643.65 and 868,874,429.10 is: 1,303,311,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,874,429.10 : 1,303,311,643.65 = 868,874,429.10 : x
  2. Step 2: Convert to fraction form
    868,874,429.10/1,303,311,643.65 = 868,874,429.10/x
  3. Step 3: Cross multiply
    868,874,429.10x = 1,303,311,643.65 × 868,874,429.10
  4. Step 4: Simplify right side
    868,874,429.10x = 1,132,414,160,315,776,512
  5. Step 5: Solve for x
    x = 1,132,414,160,315,776,512/868,874,429.10
  6. Step 6: Final answer
    x = 1,303,311,643.65

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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.