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Finding the Fourth Proportional to 107,438,097.30, 161,157,145.95 and 107,438,097.30

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Solution

The fourth proportional to 107,438,097.30, 161,157,145.95 and 107,438,097.30 is: 161,157,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,438,097.30 : 161,157,145.95 = 107,438,097.30 : x
  2. Step 2: Convert to fraction form
    107,438,097.30/161,157,145.95 = 107,438,097.30/x
  3. Step 3: Cross multiply
    107,438,097.30x = 161,157,145.95 × 107,438,097.30
  4. Step 4: Simplify right side
    107,438,097.30x = 17,314,417,127,166,400
  5. Step 5: Solve for x
    x = 17,314,417,127,166,400/107,438,097.30
  6. Step 6: Final answer
    x = 161,157,145.95

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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.