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Finding the Fourth Proportional to 363,968,265.60, 545,952,398.40 and 363,968,265.60

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Solution

The fourth proportional to 363,968,265.60, 545,952,398.40 and 363,968,265.60 is: 545,952,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,968,265.60 : 545,952,398.40 = 363,968,265.60 : x
  2. Step 2: Convert to fraction form
    363,968,265.60/545,952,398.40 = 363,968,265.60/x
  3. Step 3: Cross multiply
    363,968,265.60x = 545,952,398.40 × 363,968,265.60
  4. Step 4: Simplify right side
    363,968,265.60x = 198,709,347,545,808,224
  5. Step 5: Solve for x
    x = 198,709,347,545,808,224/363,968,265.60
  6. Step 6: Final answer
    x = 545,952,398.40

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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.