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Finding the Fourth Proportional to 471,838,644.40, 707,757,966.60 and 265,214,383.60

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Solution

The fourth proportional to 471,838,644.40, 707,757,966.60 and 265,214,383.60 is: 397,821,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,838,644.40 : 707,757,966.60 = 265,214,383.60 : x
  2. Step 2: Convert to fraction form
    471,838,644.40/707,757,966.60 = 265,214,383.60/x
  3. Step 3: Cross multiply
    471,838,644.40x = 707,757,966.60 × 265,214,383.60
  4. Step 4: Simplify right side
    471,838,644.40x = 187,707,592,849,808,384
  5. Step 5: Solve for x
    x = 187,707,592,849,808,384/471,838,644.40
  6. Step 6: Final answer
    x = 397,821,575.40

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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.