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Finding the Fourth Proportional to 6,218,429,246.40, 9,327,643,869.60 and 6,218,429,246.40

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Solution

The fourth proportional to 6,218,429,246.40, 9,327,643,869.60 and 6,218,429,246.40 is: 9,327,643,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218,429,246.40 : 9,327,643,869.60 = 6,218,429,246.40 : x
  2. Step 2: Convert to fraction form
    6,218,429,246.40/9,327,643,869.60 = 6,218,429,246.40/x
  3. Step 3: Cross multiply
    6,218,429,246.40x = 9,327,643,869.60 × 6,218,429,246.40
  4. Step 4: Simplify right side
    6,218,429,246.40x = 58,003,293,438,724,308,992
  5. Step 5: Solve for x
    x = 58,003,293,438,724,308,992/6,218,429,246.40
  6. Step 6: Final answer
    x = 9,327,643,869.60

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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.