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Finding the Fourth Proportional to 601,900,405,559.66, 830,622,695,253 and 331,238,766,432.03

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Solution

The fourth proportional to 601,900,405,559.66, 830,622,695,253 and 331,238,766,432.03 is: 457,109,572,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,900,405,559.66 : 830,622,695,253 = 331,238,766,432.03 : x
  2. Step 2: Convert to fraction form
    601,900,405,559.66/830,622,695,253 = 331,238,766,432.03/x
  3. Step 3: Cross multiply
    601,900,405,559.66x = 830,622,695,253 × 331,238,766,432.03
  4. Step 4: Simplify right side
    601,900,405,559.66x = 275,134,436,946,051,736,797,184
  5. Step 5: Solve for x
    x = 275,134,436,946,051,736,797,184/601,900,405,559.66
  6. Step 6: Final answer
    x = 457,109,572,289.17

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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.