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Finding the Fourth Proportional to 288,734,915.70, 433,102,373.55 and 224,237,661.30

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Solution

The fourth proportional to 288,734,915.70, 433,102,373.55 and 224,237,661.30 is: 336,356,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,734,915.70 : 433,102,373.55 = 224,237,661.30 : x
  2. Step 2: Convert to fraction form
    288,734,915.70/433,102,373.55 = 224,237,661.30/x
  3. Step 3: Cross multiply
    288,734,915.70x = 433,102,373.55 × 224,237,661.30
  4. Step 4: Simplify right side
    288,734,915.70x = 97,117,863,348,330,992
  5. Step 5: Solve for x
    x = 97,117,863,348,330,992/288,734,915.70
  6. Step 6: Final answer
    x = 336,356,491.95

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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.