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Finding the Fourth Proportional to 211,771,808.30, 317,657,712.46 and 211,771,808.30

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Solution

The fourth proportional to 211,771,808.30, 317,657,712.46 and 211,771,808.30 is: 317,657,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,771,808.30 : 317,657,712.46 = 211,771,808.30 : x
  2. Step 2: Convert to fraction form
    211,771,808.30/317,657,712.46 = 211,771,808.30/x
  3. Step 3: Cross multiply
    211,771,808.30x = 317,657,712.46 × 211,771,808.30
  4. Step 4: Simplify right side
    211,771,808.30x = 67,270,948,188,095,640
  5. Step 5: Solve for x
    x = 67,270,948,188,095,640/211,771,808.30
  6. Step 6: Final answer
    x = 317,657,712.46

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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.