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Finding the Fourth Proportional to 98,858,683,477.60, 148,288,025,216.40 and 98,858,683,477.60

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Solution

The fourth proportional to 98,858,683,477.60, 148,288,025,216.40 and 98,858,683,477.60 is: 148,288,025,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,858,683,477.60 : 148,288,025,216.40 = 98,858,683,477.60 : x
  2. Step 2: Convert to fraction form
    98,858,683,477.60/148,288,025,216.40 = 98,858,683,477.60/x
  3. Step 3: Cross multiply
    98,858,683,477.60x = 148,288,025,216.40 × 98,858,683,477.60
  4. Step 4: Simplify right side
    98,858,683,477.60x = 14,659,558,948,386,455,420,928
  5. Step 5: Solve for x
    x = 14,659,558,948,386,455,420,928/98,858,683,477.60
  6. Step 6: Final answer
    x = 148,288,025,216.40

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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.