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Finding the Fourth Proportional to 638,536,507.60, 957,804,761.40 and 638,536,507.60

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Solution

The fourth proportional to 638,536,507.60, 957,804,761.40 and 638,536,507.60 is: 957,804,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,536,507.60 : 957,804,761.40 = 638,536,507.60 : x
  2. Step 2: Convert to fraction form
    638,536,507.60/957,804,761.40 = 638,536,507.60/x
  3. Step 3: Cross multiply
    638,536,507.60x = 957,804,761.40 × 638,536,507.60
  4. Step 4: Simplify right side
    638,536,507.60x = 611,593,307,307,007,232
  5. Step 5: Solve for x
    x = 611,593,307,307,007,232/638,536,507.60
  6. Step 6: Final answer
    x = 957,804,761.40

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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.