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Finding the Fourth Proportional to 672,729,890.40, 1,009,094,835.60 and 672,729,890.40

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Solution

The fourth proportional to 672,729,890.40, 1,009,094,835.60 and 672,729,890.40 is: 1,009,094,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,729,890.40 : 1,009,094,835.60 = 672,729,890.40 : x
  2. Step 2: Convert to fraction form
    672,729,890.40/1,009,094,835.60 = 672,729,890.40/x
  3. Step 3: Cross multiply
    672,729,890.40x = 1,009,094,835.60 × 672,729,890.40
  4. Step 4: Simplify right side
    672,729,890.40x = 678,848,258,156,393,984
  5. Step 5: Solve for x
    x = 678,848,258,156,393,984/672,729,890.40
  6. Step 6: Final answer
    x = 1,009,094,835.60

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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.