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Finding the Fourth Proportional to 600,104,388.34, 898,991,855.43 and 442,250,721.10

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Solution

The fourth proportional to 600,104,388.34, 898,991,855.43 and 442,250,721.10 is: 662,517,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,104,388.34 : 898,991,855.43 = 442,250,721.10 : x
  2. Step 2: Convert to fraction form
    600,104,388.34/898,991,855.43 = 442,250,721.10/x
  3. Step 3: Cross multiply
    600,104,388.34x = 898,991,855.43 × 442,250,721.10
  4. Step 4: Simplify right side
    600,104,388.34x = 397,579,796,326,944,448
  5. Step 5: Solve for x
    x = 397,579,796,326,944,448/600,104,388.34
  6. Step 6: Final answer
    x = 662,517,728.67

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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.