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Finding the Fourth Proportional to 5,038,857,785.60, 7,544,681,788.80 and 5,038,857,785.60

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Solution

The fourth proportional to 5,038,857,785.60, 7,544,681,788.80 and 5,038,857,785.60 is: 7,544,681,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038,857,785.60 : 7,544,681,788.80 = 5,038,857,785.60 : x
  2. Step 2: Convert to fraction form
    5,038,857,785.60/7,544,681,788.80 = 5,038,857,785.60/x
  3. Step 3: Cross multiply
    5,038,857,785.60x = 7,544,681,788.80 × 5,038,857,785.60
  4. Step 4: Simplify right side
    5,038,857,785.60x = 38,016,578,571,369,414,656
  5. Step 5: Solve for x
    x = 38,016,578,571,369,414,656/5,038,857,785.60
  6. Step 6: Final answer
    x = 7,544,681,788.80

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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.