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Finding the Fourth Proportional to 100,298,301.10, 150,447,451.65 and 100,298,301.10

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Solution

The fourth proportional to 100,298,301.10, 150,447,451.65 and 100,298,301.10 is: 150,447,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298,301.10 : 150,447,451.65 = 100,298,301.10 : x
  2. Step 2: Convert to fraction form
    100,298,301.10/150,447,451.65 = 100,298,301.10/x
  3. Step 3: Cross multiply
    100,298,301.10x = 150,447,451.65 × 100,298,301.10
  4. Step 4: Simplify right side
    100,298,301.10x = 15,089,623,805,319,392
  5. Step 5: Solve for x
    x = 15,089,623,805,319,392/100,298,301.10
  6. Step 6: Final answer
    x = 150,447,451.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.