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Finding the Fourth Proportional to 27,025,495,266.40, 40,538,242,899.60 and 27,025,495,266.40

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Solution

The fourth proportional to 27,025,495,266.40, 40,538,242,899.60 and 27,025,495,266.40 is: 40,538,242,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,025,495,266.40 : 40,538,242,899.60 = 27,025,495,266.40 : x
  2. Step 2: Convert to fraction form
    27,025,495,266.40/40,538,242,899.60 = 27,025,495,266.40/x
  3. Step 3: Cross multiply
    27,025,495,266.40x = 40,538,242,899.60 × 27,025,495,266.40
  4. Step 4: Simplify right side
    27,025,495,266.40x = 1,095,566,091,591,313,260,544
  5. Step 5: Solve for x
    x = 1,095,566,091,591,313,260,544/27,025,495,266.40
  6. Step 6: Final answer
    x = 40,538,242,899.60

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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.