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Finding the Fourth Proportional to 206,648,854.26, 285,175,434.51 and 113,829,362.10

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Solution

The fourth proportional to 206,648,854.26, 285,175,434.51 and 113,829,362.10 is: 157,084,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,648,854.26 : 285,175,434.51 = 113,829,362.10 : x
  2. Step 2: Convert to fraction form
    206,648,854.26/285,175,434.51 = 113,829,362.10/x
  3. Step 3: Cross multiply
    206,648,854.26x = 285,175,434.51 × 113,829,362.10
  4. Step 4: Simplify right side
    206,648,854.26x = 32,461,337,796,863,624
  5. Step 5: Solve for x
    x = 32,461,337,796,863,624/206,648,854.26
  6. Step 6: Final answer
    x = 157,084,528.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.