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Finding the Fourth Proportional to 488,723,260.40, 733,084,890.60 and 488,723,260.40

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Solution

The fourth proportional to 488,723,260.40, 733,084,890.60 and 488,723,260.40 is: 733,084,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,723,260.40 : 733,084,890.60 = 488,723,260.40 : x
  2. Step 2: Convert to fraction form
    488,723,260.40/733,084,890.60 = 488,723,260.40/x
  3. Step 3: Cross multiply
    488,723,260.40x = 733,084,890.60 × 488,723,260.40
  4. Step 4: Simplify right side
    488,723,260.40x = 358,275,637,884,009,280
  5. Step 5: Solve for x
    x = 358,275,637,884,009,280/488,723,260.40
  6. Step 6: Final answer
    x = 733,084,890.60

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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.