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Finding the Fourth Proportional to 133,842,692.40, 200,764,038.60 and 99,830,468.40

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Solution

The fourth proportional to 133,842,692.40, 200,764,038.60 and 99,830,468.40 is: 149,745,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,842,692.40 : 200,764,038.60 = 99,830,468.40 : x
  2. Step 2: Convert to fraction form
    133,842,692.40/200,764,038.60 = 99,830,468.40/x
  3. Step 3: Cross multiply
    133,842,692.40x = 200,764,038.60 × 99,830,468.40
  4. Step 4: Simplify right side
    133,842,692.40x = 20,042,368,011,313,680
  5. Step 5: Solve for x
    x = 20,042,368,011,313,680/133,842,692.40
  6. Step 6: Final answer
    x = 149,745,702.60

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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.