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Finding the Fourth Proportional to 402,408,007.10, 603,612,010.66 and 402,408,007.10

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Solution

The fourth proportional to 402,408,007.10, 603,612,010.66 and 402,408,007.10 is: 603,612,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408,007.10 : 603,612,010.66 = 402,408,007.10 : x
  2. Step 2: Convert to fraction form
    402,408,007.10/603,612,010.66 = 402,408,007.10/x
  3. Step 3: Cross multiply
    402,408,007.10x = 603,612,010.66 × 402,408,007.10
  4. Step 4: Simplify right side
    402,408,007.10x = 242,898,306,271,314,560
  5. Step 5: Solve for x
    x = 242,898,306,271,314,560/402,408,007.10
  6. Step 6: Final answer
    x = 603,612,010.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.