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Finding the Fourth Proportional to 23,184,144,491.40, 34,776,216,737.10 and 23,184,144,491.40

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Solution

The fourth proportional to 23,184,144,491.40, 34,776,216,737.10 and 23,184,144,491.40 is: 34,776,216,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184,144,491.40 : 34,776,216,737.10 = 23,184,144,491.40 : x
  2. Step 2: Convert to fraction form
    23,184,144,491.40/34,776,216,737.10 = 23,184,144,491.40/x
  3. Step 3: Cross multiply
    23,184,144,491.40x = 34,776,216,737.10 × 23,184,144,491.40
  4. Step 4: Simplify right side
    23,184,144,491.40x = 806,256,833,697,169,408,000
  5. Step 5: Solve for x
    x = 806,256,833,697,169,408,000/23,184,144,491.40
  6. Step 6: Final answer
    x = 34,776,216,737.10

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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.