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Finding the Fourth Proportional to 797,281,315.60, 1,193,654,491.80 and 797,281,315.60

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Solution

The fourth proportional to 797,281,315.60, 1,193,654,491.80 and 797,281,315.60 is: 1,193,654,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,281,315.60 : 1,193,654,491.80 = 797,281,315.60 : x
  2. Step 2: Convert to fraction form
    797,281,315.60/1,193,654,491.80 = 797,281,315.60/x
  3. Step 3: Cross multiply
    797,281,315.60x = 1,193,654,491.80 × 797,281,315.60
  4. Step 4: Simplify right side
    797,281,315.60x = 951,678,423,594,153,344
  5. Step 5: Solve for x
    x = 951,678,423,594,153,344/797,281,315.60
  6. Step 6: Final answer
    x = 1,193,654,491.80

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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.