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Finding the Fourth Proportional to 239,219,916,917.20, 358,829,875,375.80 and 239,219,916,917.20

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Solution

The fourth proportional to 239,219,916,917.20, 358,829,875,375.80 and 239,219,916,917.20 is: 358,829,875,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,219,916,917.20 : 358,829,875,375.80 = 239,219,916,917.20 : x
  2. Step 2: Convert to fraction form
    239,219,916,917.20/358,829,875,375.80 = 239,219,916,917.20/x
  3. Step 3: Cross multiply
    239,219,916,917.20x = 358,829,875,375.80 × 239,219,916,917.20
  4. Step 4: Simplify right side
    239,219,916,917.20x = 85,839,252,974,808,103,649,280
  5. Step 5: Solve for x
    x = 85,839,252,974,808,103,649,280/239,219,916,917.20
  6. Step 6: Final answer
    x = 358,829,875,375.80

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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.