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Finding the Fourth Proportional to 75,152,693,253.60, 112,729,039,880.40 and 75,152,693,253.60

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Solution

The fourth proportional to 75,152,693,253.60, 112,729,039,880.40 and 75,152,693,253.60 is: 112,729,039,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,152,693,253.60 : 112,729,039,880.40 = 75,152,693,253.60 : x
  2. Step 2: Convert to fraction form
    75,152,693,253.60/112,729,039,880.40 = 75,152,693,253.60/x
  3. Step 3: Cross multiply
    75,152,693,253.60x = 112,729,039,880.40 × 75,152,693,253.60
  4. Step 4: Simplify right side
    75,152,693,253.60x = 8,471,890,954,904,542,380,032
  5. Step 5: Solve for x
    x = 8,471,890,954,904,542,380,032/75,152,693,253.60
  6. Step 6: Final answer
    x = 112,729,039,880.40

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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.