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Finding the Fourth Proportional to 901,727,720.30, 1,352,591,580.45 and 901,727,720.30

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Solution

The fourth proportional to 901,727,720.30, 1,352,591,580.45 and 901,727,720.30 is: 1,352,591,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,727,720.30 : 1,352,591,580.45 = 901,727,720.30 : x
  2. Step 2: Convert to fraction form
    901,727,720.30/1,352,591,580.45 = 901,727,720.30/x
  3. Step 3: Cross multiply
    901,727,720.30x = 1,352,591,580.45 × 901,727,720.30
  4. Step 4: Simplify right side
    901,727,720.30x = 1,219,669,322,336,152,576
  5. Step 5: Solve for x
    x = 1,219,669,322,336,152,576/901,727,720.30
  6. Step 6: Final answer
    x = 1,352,591,580.45

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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.