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Finding the Fourth Proportional to 766,408,937.03, 1,057,644,759.00 and 413,984,931.18

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Solution

The fourth proportional to 766,408,937.03, 1,057,644,759.00 and 413,984,931.18 is: 571,299,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,408,937.03 : 1,057,644,759.00 = 413,984,931.18 : x
  2. Step 2: Convert to fraction form
    766,408,937.03/1,057,644,759.00 = 413,984,931.18/x
  3. Step 3: Cross multiply
    766,408,937.03x = 1,057,644,759.00 × 413,984,931.18
  4. Step 4: Simplify right side
    766,408,937.03x = 437,848,992,765,109,632
  5. Step 5: Solve for x
    x = 437,848,992,765,109,632/766,408,937.03
  6. Step 6: Final answer
    x = 571,299,435.08

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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.