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Finding the Fourth Proportional to 930,565,714.60, 1,395,848,571.90 and 413,048,468.80

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Solution

The fourth proportional to 930,565,714.60, 1,395,848,571.90 and 413,048,468.80 is: 619,572,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,565,714.60 : 1,395,848,571.90 = 413,048,468.80 : x
  2. Step 2: Convert to fraction form
    930,565,714.60/1,395,848,571.90 = 413,048,468.80/x
  3. Step 3: Cross multiply
    930,565,714.60x = 1,395,848,571.90 × 413,048,468.80
  4. Step 4: Simplify right side
    930,565,714.60x = 576,553,115,299,961,728
  5. Step 5: Solve for x
    x = 576,553,115,299,961,728/930,565,714.60
  6. Step 6: Final answer
    x = 619,572,703.20

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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.