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Finding the Fourth Proportional to 280,482,814.40, 420,724,221.60 and 280,482,814.40

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Solution

The fourth proportional to 280,482,814.40, 420,724,221.60 and 280,482,814.40 is: 420,724,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,482,814.40 : 420,724,221.60 = 280,482,814.40 : x
  2. Step 2: Convert to fraction form
    280,482,814.40/420,724,221.60 = 280,482,814.40/x
  3. Step 3: Cross multiply
    280,482,814.40x = 420,724,221.60 × 280,482,814.40
  4. Step 4: Simplify right side
    280,482,814.40x = 118,005,913,760,617,264
  5. Step 5: Solve for x
    x = 118,005,913,760,617,264/280,482,814.40
  6. Step 6: Final answer
    x = 420,724,221.60

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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.