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Finding the Fourth Proportional to 242,236,025,101.65, 363,354,037,652.47 and 242,236,025,101.65

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Solution

The fourth proportional to 242,236,025,101.65, 363,354,037,652.47 and 242,236,025,101.65 is: 363,354,037,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,236,025,101.65 : 363,354,037,652.47 = 242,236,025,101.65 : x
  2. Step 2: Convert to fraction form
    242,236,025,101.65/363,354,037,652.47 = 242,236,025,101.65/x
  3. Step 3: Cross multiply
    242,236,025,101.65x = 363,354,037,652.47 × 242,236,025,101.65
  4. Step 4: Simplify right side
    242,236,025,101.65x = 88,017,437,785,569,592,606,720
  5. Step 5: Solve for x
    x = 88,017,437,785,569,592,606,720/242,236,025,101.65
  6. Step 6: Final answer
    x = 363,354,037,652.47

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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.