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Finding the Fourth Proportional to 652,664,240.54, 978,709,076.46 and 345,884,477.66

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Solution

The fourth proportional to 652,664,240.54, 978,709,076.46 and 345,884,477.66 is: 518,674,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,664,240.54 : 978,709,076.46 = 345,884,477.66 : x
  2. Step 2: Convert to fraction form
    652,664,240.54/978,709,076.46 = 345,884,477.66/x
  3. Step 3: Cross multiply
    652,664,240.54x = 978,709,076.46 × 345,884,477.66
  4. Step 4: Simplify right side
    652,664,240.54x = 338,520,277,692,468,160
  5. Step 5: Solve for x
    x = 338,520,277,692,468,160/652,664,240.54
  6. Step 6: Final answer
    x = 518,674,467.92

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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.