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Finding the Fourth Proportional to 102,135,087,009.20, 153,202,630,513.80 and 102,135,087,009.20

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Solution

The fourth proportional to 102,135,087,009.20, 153,202,630,513.80 and 102,135,087,009.20 is: 153,202,630,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,135,087,009.20 : 153,202,630,513.80 = 102,135,087,009.20 : x
  2. Step 2: Convert to fraction form
    102,135,087,009.20/153,202,630,513.80 = 102,135,087,009.20/x
  3. Step 3: Cross multiply
    102,135,087,009.20x = 153,202,630,513.80 × 102,135,087,009.20
  4. Step 4: Simplify right side
    102,135,087,009.20x = 15,647,363,997,565,280,321,536
  5. Step 5: Solve for x
    x = 15,647,363,997,565,280,321,536/102,135,087,009.20
  6. Step 6: Final answer
    x = 153,202,630,513.80

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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.