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Finding the Fourth Proportional to 382,564,200.60, 572,995,995.30 and 382,564,200.60

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Solution

The fourth proportional to 382,564,200.60, 572,995,995.30 and 382,564,200.60 is: 572,995,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,564,200.60 : 572,995,995.30 = 382,564,200.60 : x
  2. Step 2: Convert to fraction form
    382,564,200.60/572,995,995.30 = 382,564,200.60/x
  3. Step 3: Cross multiply
    382,564,200.60x = 572,995,995.30 × 382,564,200.60
  4. Step 4: Simplify right side
    382,564,200.60x = 219,207,754,888,945,856
  5. Step 5: Solve for x
    x = 219,207,754,888,945,856/382,564,200.60
  6. Step 6: Final answer
    x = 572,995,995.30

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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.