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Finding the Fourth Proportional to 600,104,374.84, 898,991,835.18 and 442,250,707.60

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Solution

The fourth proportional to 600,104,374.84, 898,991,835.18 and 442,250,707.60 is: 662,517,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,104,374.84 : 898,991,835.18 = 442,250,707.60 : x
  2. Step 2: Convert to fraction form
    600,104,374.84/898,991,835.18 = 442,250,707.60/x
  3. Step 3: Cross multiply
    600,104,374.84x = 898,991,835.18 × 442,250,707.60
  4. Step 4: Simplify right side
    600,104,374.84x = 397,579,775,234,977,600
  5. Step 5: Solve for x
    x = 397,579,775,234,977,600/600,104,374.84
  6. Step 6: Final answer
    x = 662,517,708.43

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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.