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Finding the Fourth Proportional to 497,166,336,579.60, 745,749,504,869.40 and 497,166,336,579.60

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Solution

The fourth proportional to 497,166,336,579.60, 745,749,504,869.40 and 497,166,336,579.60 is: 745,749,504,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,166,336,579.60 : 745,749,504,869.40 = 497,166,336,579.60 : x
  2. Step 2: Convert to fraction form
    497,166,336,579.60/745,749,504,869.40 = 497,166,336,579.60/x
  3. Step 3: Cross multiply
    497,166,336,579.60x = 745,749,504,869.40 × 497,166,336,579.60
  4. Step 4: Simplify right side
    497,166,336,579.60x = 370,761,549,341,970,174,836,736
  5. Step 5: Solve for x
    x = 370,761,549,341,970,174,836,736/497,166,336,579.60
  6. Step 6: Final answer
    x = 745,749,504,869.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.