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Finding the Fourth Proportional to 219,984,624, 329,974,835.04 and 133,746,840

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Solution

The fourth proportional to 219,984,624, 329,974,835.04 and 133,746,840 is: 200,618,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,984,624 : 329,974,835.04 = 133,746,840 : x
  2. Step 2: Convert to fraction form
    219,984,624/329,974,835.04 = 133,746,840/x
  3. Step 3: Cross multiply
    219,984,624x = 329,974,835.04 × 133,746,840
  4. Step 4: Simplify right side
    219,984,624x = 44,133,091,466,121,280
  5. Step 5: Solve for x
    x = 44,133,091,466,121,280/219,984,624
  6. Step 6: Final answer
    x = 200,618,982.65

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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.