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Finding the Fourth Proportional to 37,298,465,246.55, 55,947,697,869.83 and 37,298,465,246.55

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Solution

The fourth proportional to 37,298,465,246.55, 55,947,697,869.83 and 37,298,465,246.55 is: 55,947,697,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298,465,246.55 : 55,947,697,869.83 = 37,298,465,246.55 : x
  2. Step 2: Convert to fraction form
    37,298,465,246.55/55,947,697,869.83 = 37,298,465,246.55/x
  3. Step 3: Cross multiply
    37,298,465,246.55x = 55,947,697,869.83 × 37,298,465,246.55
  4. Step 4: Simplify right side
    37,298,465,246.55x = 2,086,763,264,622,147,403,776
  5. Step 5: Solve for x
    x = 2,086,763,264,622,147,403,776/37,298,465,246.55
  6. Step 6: Final answer
    x = 55,947,697,869.83

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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.