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Finding the Fourth Proportional to 668,813,638.60, 1,001,307,270.30 and 668,813,638.60

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Solution

The fourth proportional to 668,813,638.60, 1,001,307,270.30 and 668,813,638.60 is: 1,001,307,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,813,638.60 : 1,001,307,270.30 = 668,813,638.60 : x
  2. Step 2: Convert to fraction form
    668,813,638.60/1,001,307,270.30 = 668,813,638.60/x
  3. Step 3: Cross multiply
    668,813,638.60x = 1,001,307,270.30 × 668,813,638.60
  4. Step 4: Simplify right side
    668,813,638.60x = 669,687,958,805,976,704
  5. Step 5: Solve for x
    x = 669,687,958,805,976,704/668,813,638.60
  6. Step 6: Final answer
    x = 1,001,307,270.30

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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.