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Finding the Fourth Proportional to 383,385,890.90, 575,078,836.35 and 383,385,890.90

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Solution

The fourth proportional to 383,385,890.90, 575,078,836.35 and 383,385,890.90 is: 575,078,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,385,890.90 : 575,078,836.35 = 383,385,890.90 : x
  2. Step 2: Convert to fraction form
    383,385,890.90/575,078,836.35 = 383,385,890.90/x
  3. Step 3: Cross multiply
    383,385,890.90x = 575,078,836.35 × 383,385,890.90
  4. Step 4: Simplify right side
    383,385,890.90x = 220,477,112,011,780,064
  5. Step 5: Solve for x
    x = 220,477,112,011,780,064/383,385,890.90
  6. Step 6: Final answer
    x = 575,078,836.35

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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.