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Finding the Fourth Proportional to 601,869,946.40, 902,804,919.60 and 538,734,755.60

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Solution

The fourth proportional to 601,869,946.40, 902,804,919.60 and 538,734,755.60 is: 808,102,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,869,946.40 : 902,804,919.60 = 538,734,755.60 : x
  2. Step 2: Convert to fraction form
    601,869,946.40/902,804,919.60 = 538,734,755.60/x
  3. Step 3: Cross multiply
    601,869,946.40x = 902,804,919.60 × 538,734,755.60
  4. Step 4: Simplify right side
    601,869,946.40x = 486,372,387,715,183,680
  5. Step 5: Solve for x
    x = 486,372,387,715,183,680/601,869,946.40
  6. Step 6: Final answer
    x = 808,102,133.40

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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.