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Finding the Fourth Proportional to 144,579,665,217.80, 216,869,497,826.70 and 144,579,665,217.80

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Solution

The fourth proportional to 144,579,665,217.80, 216,869,497,826.70 and 144,579,665,217.80 is: 216,869,497,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,579,665,217.80 : 216,869,497,826.70 = 144,579,665,217.80 : x
  2. Step 2: Convert to fraction form
    144,579,665,217.80/216,869,497,826.70 = 144,579,665,217.80/x
  3. Step 3: Cross multiply
    144,579,665,217.80x = 216,869,497,826.70 × 144,579,665,217.80
  4. Step 4: Simplify right side
    144,579,665,217.80x = 31,354,919,391,736,690,114,560
  5. Step 5: Solve for x
    x = 31,354,919,391,736,690,114,560/144,579,665,217.80
  6. Step 6: Final answer
    x = 216,869,497,826.70

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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.