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Finding the Fourth Proportional to 597,894,004.80, 896,841,007.20 and 442,925,809.20

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Solution

The fourth proportional to 597,894,004.80, 896,841,007.20 and 442,925,809.20 is: 664,388,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,894,004.80 : 896,841,007.20 = 442,925,809.20 : x
  2. Step 2: Convert to fraction form
    597,894,004.80/896,841,007.20 = 442,925,809.20/x
  3. Step 3: Cross multiply
    597,894,004.80x = 896,841,007.20 × 442,925,809.20
  4. Step 4: Simplify right side
    597,894,004.80x = 397,234,028,837,803,008
  5. Step 5: Solve for x
    x = 397,234,028,837,803,008/597,894,004.80
  6. Step 6: Final answer
    x = 664,388,713.80

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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.