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Finding the Fourth Proportional to 568,521,647.94, 784,545,420.16 and 317,627,924.34

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Solution

The fourth proportional to 568,521,647.94, 784,545,420.16 and 317,627,924.34 is: 438,318,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,521,647.94 : 784,545,420.16 = 317,627,924.34 : x
  2. Step 2: Convert to fraction form
    568,521,647.94/784,545,420.16 = 317,627,924.34/x
  3. Step 3: Cross multiply
    568,521,647.94x = 784,545,420.16 × 317,627,924.34
  4. Step 4: Simplify right side
    568,521,647.94x = 249,193,533,355,873,952
  5. Step 5: Solve for x
    x = 249,193,533,355,873,952/568,521,647.94
  6. Step 6: Final answer
    x = 438,318,460.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.