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Finding the Fourth Proportional to 497,166,336,618.60, 745,749,504,927.90 and 497,166,336,618.60

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Solution

The fourth proportional to 497,166,336,618.60, 745,749,504,927.90 and 497,166,336,618.60 is: 745,749,504,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,166,336,618.60 : 745,749,504,927.90 = 497,166,336,618.60 : x
  2. Step 2: Convert to fraction form
    497,166,336,618.60/745,749,504,927.90 = 497,166,336,618.60/x
  3. Step 3: Cross multiply
    497,166,336,618.60x = 745,749,504,927.90 × 497,166,336,618.60
  4. Step 4: Simplify right side
    497,166,336,618.60x = 370,761,549,400,138,594,648,064
  5. Step 5: Solve for x
    x = 370,761,549,400,138,594,648,064/497,166,336,618.60
  6. Step 6: Final answer
    x = 745,749,504,927.90

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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.