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Finding the Fourth Proportional to 525,149,496.30, 787,724,244.45 and 525,149,496.30

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Solution

The fourth proportional to 525,149,496.30, 787,724,244.45 and 525,149,496.30 is: 787,724,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,149,496.30 : 787,724,244.45 = 525,149,496.30 : x
  2. Step 2: Convert to fraction form
    525,149,496.30/787,724,244.45 = 525,149,496.30/x
  3. Step 3: Cross multiply
    525,149,496.30x = 787,724,244.45 × 525,149,496.30
  4. Step 4: Simplify right side
    525,149,496.30x = 413,672,990,196,215,616
  5. Step 5: Solve for x
    x = 413,672,990,196,215,616/525,149,496.30
  6. Step 6: Final answer
    x = 787,724,244.45

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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.