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Finding the Fourth Proportional to 65,002,068,009.10, 97,503,102,013.65 and 65,002,068,009.10

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Solution

The fourth proportional to 65,002,068,009.10, 97,503,102,013.65 and 65,002,068,009.10 is: 97,503,102,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002,068,009.10 : 97,503,102,013.65 = 65,002,068,009.10 : x
  2. Step 2: Convert to fraction form
    65,002,068,009.10/97,503,102,013.65 = 65,002,068,009.10/x
  3. Step 3: Cross multiply
    65,002,068,009.10x = 97,503,102,013.65 × 65,002,068,009.10
  4. Step 4: Simplify right side
    65,002,068,009.10x = 6,337,903,268,189,491,429,376
  5. Step 5: Solve for x
    x = 6,337,903,268,189,491,429,376/65,002,068,009.10
  6. Step 6: Final answer
    x = 97,503,102,013.65

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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.