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Finding the Fourth Proportional to 402,416,101.55, 603,624,152.33 and 402,416,101.55

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Solution

The fourth proportional to 402,416,101.55, 603,624,152.33 and 402,416,101.55 is: 603,624,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,416,101.55 : 603,624,152.33 = 402,416,101.55 : x
  2. Step 2: Convert to fraction form
    402,416,101.55/603,624,152.33 = 402,416,101.55/x
  3. Step 3: Cross multiply
    402,416,101.55x = 603,624,152.33 × 402,416,101.55
  4. Step 4: Simplify right side
    402,416,101.55x = 242,908,078,180,049,888
  5. Step 5: Solve for x
    x = 242,908,078,180,049,888/402,416,101.55
  6. Step 6: Final answer
    x = 603,624,152.33

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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.