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Finding the Fourth Proportional to 398,497,205.60, 597,745,808.40 and 194,423,861.60

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Solution

The fourth proportional to 398,497,205.60, 597,745,808.40 and 194,423,861.60 is: 291,635,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,497,205.60 : 597,745,808.40 = 194,423,861.60 : x
  2. Step 2: Convert to fraction form
    398,497,205.60/597,745,808.40 = 194,423,861.60/x
  3. Step 3: Cross multiply
    398,497,205.60x = 597,745,808.40 × 194,423,861.60
  4. Step 4: Simplify right side
    398,497,205.60x = 116,216,048,324,341,712
  5. Step 5: Solve for x
    x = 116,216,048,324,341,712/398,497,205.60
  6. Step 6: Final answer
    x = 291,635,792.40

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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.