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Finding the Fourth Proportional to 466,494,929.40, 699,745,009.78 and 155,601,692.11

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Solution

The fourth proportional to 466,494,929.40, 699,745,009.78 and 155,601,692.11 is: 233,403,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,494,929.40 : 699,745,009.78 = 155,601,692.11 : x
  2. Step 2: Convert to fraction form
    466,494,929.40/699,745,009.78 = 155,601,692.11/x
  3. Step 3: Cross multiply
    466,494,929.40x = 699,745,009.78 × 155,601,692.11
  4. Step 4: Simplify right side
    466,494,929.40x = 108,881,507,568,365,696
  5. Step 5: Solve for x
    x = 108,881,507,568,365,696/466,494,929.40
  6. Step 6: Final answer
    x = 233,403,410.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.