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Finding the Fourth Proportional to 133,872,377.60, 200,808,566.40 and 133,872,377.60

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Solution

The fourth proportional to 133,872,377.60, 200,808,566.40 and 133,872,377.60 is: 200,808,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,872,377.60 : 200,808,566.40 = 133,872,377.60 : x
  2. Step 2: Convert to fraction form
    133,872,377.60/200,808,566.40 = 133,872,377.60/x
  3. Step 3: Cross multiply
    133,872,377.60x = 200,808,566.40 × 133,872,377.60
  4. Step 4: Simplify right side
    133,872,377.60x = 26,882,720,226,415,472
  5. Step 5: Solve for x
    x = 26,882,720,226,415,472/133,872,377.60
  6. Step 6: Final answer
    x = 200,808,566.40

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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.