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Finding the Fourth Proportional to 17,438,563,727.80, 26,157,845,591.70 and 17,438,563,727.80

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Solution

The fourth proportional to 17,438,563,727.80, 26,157,845,591.70 and 17,438,563,727.80 is: 26,157,845,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438,563,727.80 : 26,157,845,591.70 = 17,438,563,727.80 : x
  2. Step 2: Convert to fraction form
    17,438,563,727.80/26,157,845,591.70 = 17,438,563,727.80/x
  3. Step 3: Cross multiply
    17,438,563,727.80x = 26,157,845,591.70 × 17,438,563,727.80
  4. Step 4: Simplify right side
    17,438,563,727.80x = 456,155,257,332,812,742,656
  5. Step 5: Solve for x
    x = 456,155,257,332,812,742,656/17,438,563,727.80
  6. Step 6: Final answer
    x = 26,157,845,591.70

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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.