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Finding the Fourth Proportional to 553,309,204.80, 829,963,807.20 and 144,365,355.30

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Solution

The fourth proportional to 553,309,204.80, 829,963,807.20 and 144,365,355.30 is: 216,548,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,309,204.80 : 829,963,807.20 = 144,365,355.30 : x
  2. Step 2: Convert to fraction form
    553,309,204.80/829,963,807.20 = 144,365,355.30/x
  3. Step 3: Cross multiply
    553,309,204.80x = 829,963,807.20 × 144,365,355.30
  4. Step 4: Simplify right side
    553,309,204.80x = 119,818,019,912,568,720
  5. Step 5: Solve for x
    x = 119,818,019,912,568,720/553,309,204.80
  6. Step 6: Final answer
    x = 216,548,032.95

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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.