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Finding the Fourth Proportional to 282,029,550.30, 423,044,325.45 and 282,029,550.30

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Solution

The fourth proportional to 282,029,550.30, 423,044,325.45 and 282,029,550.30 is: 423,044,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,029,550.30 : 423,044,325.45 = 282,029,550.30 : x
  2. Step 2: Convert to fraction form
    282,029,550.30/423,044,325.45 = 282,029,550.30/x
  3. Step 3: Cross multiply
    282,029,550.30x = 423,044,325.45 × 282,029,550.30
  4. Step 4: Simplify right side
    282,029,550.30x = 119,311,000,863,630,352
  5. Step 5: Solve for x
    x = 119,311,000,863,630,352/282,029,550.30
  6. Step 6: Final answer
    x = 423,044,325.45

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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.