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Finding the Fourth Proportional to 983,762,835.30, 1,475,431,676.55 and 431,064,195.30

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Solution

The fourth proportional to 983,762,835.30, 1,475,431,676.55 and 431,064,195.30 is: 646,503,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,762,835.30 : 1,475,431,676.55 = 431,064,195.30 : x
  2. Step 2: Convert to fraction form
    983,762,835.30/1,475,431,676.55 = 431,064,195.30/x
  3. Step 3: Cross multiply
    983,762,835.30x = 1,475,431,676.55 × 431,064,195.30
  4. Step 4: Simplify right side
    983,762,835.30x = 636,005,768,372,155,648
  5. Step 5: Solve for x
    x = 636,005,768,372,155,648/983,762,835.30
  6. Step 6: Final answer
    x = 646,503,146.44

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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.