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Finding the Fourth Proportional to 367,261,452,021.60, 550,892,178,032.40 and 367,261,452,021.60

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Solution

The fourth proportional to 367,261,452,021.60, 550,892,178,032.40 and 367,261,452,021.60 is: 550,892,178,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,261,452,021.60 : 550,892,178,032.40 = 367,261,452,021.60 : x
  2. Step 2: Convert to fraction form
    367,261,452,021.60/550,892,178,032.40 = 367,261,452,021.60/x
  3. Step 3: Cross multiply
    367,261,452,021.60x = 550,892,178,032.40 × 367,261,452,021.60
  4. Step 4: Simplify right side
    367,261,452,021.60x = 202,321,461,211,520,997,261,312
  5. Step 5: Solve for x
    x = 202,321,461,211,520,997,261,312/367,261,452,021.60
  6. Step 6: Final answer
    x = 550,892,178,032.40

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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.