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Finding the Fourth Proportional to 5,738,689,097.60, 8,594,428,756.80 and 5,738,689,097.60

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Solution

The fourth proportional to 5,738,689,097.60, 8,594,428,756.80 and 5,738,689,097.60 is: 8,594,428,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738,689,097.60 : 8,594,428,756.80 = 5,738,689,097.60 : x
  2. Step 2: Convert to fraction form
    5,738,689,097.60/8,594,428,756.80 = 5,738,689,097.60/x
  3. Step 3: Cross multiply
    5,738,689,097.60x = 8,594,428,756.80 × 5,738,689,097.60
  4. Step 4: Simplify right side
    5,738,689,097.60x = 49,320,754,606,748,082,176
  5. Step 5: Solve for x
    x = 49,320,754,606,748,082,176/5,738,689,097.60
  6. Step 6: Final answer
    x = 8,594,428,756.80

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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.