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Finding the Fourth Proportional to 638,536,509.10, 957,804,763.65 and 638,536,509.10

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Solution

The fourth proportional to 638,536,509.10, 957,804,763.65 and 638,536,509.10 is: 957,804,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,536,509.10 : 957,804,763.65 = 638,536,509.10 : x
  2. Step 2: Convert to fraction form
    638,536,509.10/957,804,763.65 = 638,536,509.10/x
  3. Step 3: Cross multiply
    638,536,509.10x = 957,804,763.65 × 638,536,509.10
  4. Step 4: Simplify right side
    638,536,509.10x = 611,593,310,180,421,632
  5. Step 5: Solve for x
    x = 611,593,310,180,421,632/638,536,509.10
  6. Step 6: Final answer
    x = 957,804,763.65

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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.