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Finding the Fourth Proportional to 431,569,201.30, 646,609,784.55 and 201,065,524.90

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Solution

The fourth proportional to 431,569,201.30, 646,609,784.55 and 201,065,524.90 is: 301,251,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569,201.30 : 646,609,784.55 = 201,065,524.90 : x
  2. Step 2: Convert to fraction form
    431,569,201.30/646,609,784.55 = 201,065,524.90/x
  3. Step 3: Cross multiply
    431,569,201.30x = 646,609,784.55 × 201,065,524.90
  4. Step 4: Simplify right side
    431,569,201.30x = 130,010,935,736,021,648
  5. Step 5: Solve for x
    x = 130,010,935,736,021,648/431,569,201.30
  6. Step 6: Final answer
    x = 301,251,654.07

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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.