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Finding the Fourth Proportional to 644,071,510.40, 966,107,265.60 and 644,071,510.40

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Solution

The fourth proportional to 644,071,510.40, 966,107,265.60 and 644,071,510.40 is: 966,107,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,071,510.40 : 966,107,265.60 = 644,071,510.40 : x
  2. Step 2: Convert to fraction form
    644,071,510.40/966,107,265.60 = 644,071,510.40/x
  3. Step 3: Cross multiply
    644,071,510.40x = 966,107,265.60 × 644,071,510.40
  4. Step 4: Simplify right side
    644,071,510.40x = 622,242,165,763,405,952
  5. Step 5: Solve for x
    x = 622,242,165,763,405,952/644,071,510.40
  6. Step 6: Final answer
    x = 966,107,265.60

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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.