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Finding the Fourth Proportional to 280,205,999.10, 420,308,998.68 and 280,205,999.10

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Solution

The fourth proportional to 280,205,999.10, 420,308,998.68 and 280,205,999.10 is: 420,308,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,205,999.10 : 420,308,998.68 = 280,205,999.10 : x
  2. Step 2: Convert to fraction form
    280,205,999.10/420,308,998.68 = 280,205,999.10/x
  3. Step 3: Cross multiply
    280,205,999.10x = 420,308,998.68 × 280,205,999.10
  4. Step 4: Simplify right side
    280,205,999.10x = 117,773,102,905,850,000
  5. Step 5: Solve for x
    x = 117,773,102,905,850,000/280,205,999.10
  6. Step 6: Final answer
    x = 420,308,998.68

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1.5x scale

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.