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Finding the Fourth Proportional to 70,797,564,003.60, 106,196,346,005.40 and 70,797,564,003.60

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Solution

The fourth proportional to 70,797,564,003.60, 106,196,346,005.40 and 70,797,564,003.60 is: 106,196,346,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,797,564,003.60 : 106,196,346,005.40 = 70,797,564,003.60 : x
  2. Step 2: Convert to fraction form
    70,797,564,003.60/106,196,346,005.40 = 70,797,564,003.60/x
  3. Step 3: Cross multiply
    70,797,564,003.60x = 106,196,346,005.40 × 70,797,564,003.60
  4. Step 4: Simplify right side
    70,797,564,003.60x = 7,518,442,603,265,757,544,448
  5. Step 5: Solve for x
    x = 7,518,442,603,265,757,544,448/70,797,564,003.60
  6. Step 6: Final answer
    x = 106,196,346,005.40

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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.