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Finding the Fourth Proportional to 854,223,813, 1,281,206,254.24 and 232,487,494.28

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Solution

The fourth proportional to 854,223,813, 1,281,206,254.24 and 232,487,494.28 is: 348,696,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,223,813 : 1,281,206,254.24 = 232,487,494.28 : x
  2. Step 2: Convert to fraction form
    854,223,813/1,281,206,254.24 = 232,487,494.28/x
  3. Step 3: Cross multiply
    854,223,813x = 1,281,206,254.24 × 232,487,494.28
  4. Step 4: Simplify right side
    854,223,813x = 297,864,431,704,122,240
  5. Step 5: Solve for x
    x = 297,864,431,704,122,240/854,223,813
  6. Step 6: Final answer
    x = 348,696,005.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.