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Finding the Fourth Proportional to 472,392,590.40, 708,588,885.60 and 397,565,697.60

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Solution

The fourth proportional to 472,392,590.40, 708,588,885.60 and 397,565,697.60 is: 596,348,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,590.40 : 708,588,885.60 = 397,565,697.60 : x
  2. Step 2: Convert to fraction form
    472,392,590.40/708,588,885.60 = 397,565,697.60/x
  3. Step 3: Cross multiply
    472,392,590.40x = 708,588,885.60 × 397,565,697.60
  4. Step 4: Simplify right side
    472,392,590.40x = 281,710,634,615,170,624
  5. Step 5: Solve for x
    x = 281,710,634,615,170,624/472,392,590.40
  6. Step 6: Final answer
    x = 596,348,546.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.