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Finding the Fourth Proportional to 10,215,087,309.30, 15,322,630,963.95 and 10,215,087,309.30

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Solution

The fourth proportional to 10,215,087,309.30, 15,322,630,963.95 and 10,215,087,309.30 is: 15,322,630,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215,087,309.30 : 15,322,630,963.95 = 10,215,087,309.30 : x
  2. Step 2: Convert to fraction form
    10,215,087,309.30/15,322,630,963.95 = 10,215,087,309.30/x
  3. Step 3: Cross multiply
    10,215,087,309.30x = 15,322,630,963.95 × 10,215,087,309.30
  4. Step 4: Simplify right side
    10,215,087,309.30x = 156,522,013,104,932,880,384
  5. Step 5: Solve for x
    x = 156,522,013,104,932,880,384/10,215,087,309.30
  6. Step 6: Final answer
    x = 15,322,630,963.95

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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.