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Finding the Fourth Proportional to 724,365,855.60, 1,086,548,783.40 and 724,365,855.60

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Solution

The fourth proportional to 724,365,855.60, 1,086,548,783.40 and 724,365,855.60 is: 1,086,548,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,365,855.60 : 1,086,548,783.40 = 724,365,855.60 : x
  2. Step 2: Convert to fraction form
    724,365,855.60/1,086,548,783.40 = 724,365,855.60/x
  3. Step 3: Cross multiply
    724,365,855.60x = 1,086,548,783.40 × 724,365,855.60
  4. Step 4: Simplify right side
    724,365,855.60x = 787,058,839,138,680,192
  5. Step 5: Solve for x
    x = 787,058,839,138,680,192/724,365,855.60
  6. Step 6: Final answer
    x = 1,086,548,783.40

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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.