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Finding the Fourth Proportional to 570,858,598.40, 856,287,897.60 and 398,671,714.40

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Solution

The fourth proportional to 570,858,598.40, 856,287,897.60 and 398,671,714.40 is: 598,007,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,858,598.40 : 856,287,897.60 = 398,671,714.40 : x
  2. Step 2: Convert to fraction form
    570,858,598.40/856,287,897.60 = 398,671,714.40/x
  3. Step 3: Cross multiply
    570,858,598.40x = 856,287,897.60 × 398,671,714.40
  4. Step 4: Simplify right side
    570,858,598.40x = 341,377,764,156,163,648
  5. Step 5: Solve for x
    x = 341,377,764,156,163,648/570,858,598.40
  6. Step 6: Final answer
    x = 598,007,571.60

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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.