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Finding the Fourth Proportional to 402,416,009.80, 603,624,014.70 and 402,416,009.80

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Solution

The fourth proportional to 402,416,009.80, 603,624,014.70 and 402,416,009.80 is: 603,624,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,416,009.80 : 603,624,014.70 = 402,416,009.80 : x
  2. Step 2: Convert to fraction form
    402,416,009.80/603,624,014.70 = 402,416,009.80/x
  3. Step 3: Cross multiply
    402,416,009.80x = 603,624,014.70 × 402,416,009.80
  4. Step 4: Simplify right side
    402,416,009.80x = 242,907,967,415,030,560
  5. Step 5: Solve for x
    x = 242,907,967,415,030,560/402,416,009.80
  6. Step 6: Final answer
    x = 603,624,014.70

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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.