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Finding the Fourth Proportional to 354,294,352.35, 496,522,276.65 and 354,294,352.35

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Solution

The fourth proportional to 354,294,352.35, 496,522,276.65 and 354,294,352.35 is: 496,522,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,294,352.35 : 496,522,276.65 = 354,294,352.35 : x
  2. Step 2: Convert to fraction form
    354,294,352.35/496,522,276.65 = 354,294,352.35/x
  3. Step 3: Cross multiply
    354,294,352.35x = 496,522,276.65 × 354,294,352.35
  4. Step 4: Simplify right side
    354,294,352.35x = 175,915,038,433,059,296
  5. Step 5: Solve for x
    x = 175,915,038,433,059,296/354,294,352.35
  6. Step 6: Final answer
    x = 496,522,276.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.