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Finding the Fourth Proportional to 75,305,928,271.20, 112,958,892,406.80 and 75,305,928,271.20

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Solution

The fourth proportional to 75,305,928,271.20, 112,958,892,406.80 and 75,305,928,271.20 is: 112,958,892,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,305,928,271.20 : 112,958,892,406.80 = 75,305,928,271.20 : x
  2. Step 2: Convert to fraction form
    75,305,928,271.20/112,958,892,406.80 = 75,305,928,271.20/x
  3. Step 3: Cross multiply
    75,305,928,271.20x = 112,958,892,406.80 × 75,305,928,271.20
  4. Step 4: Simplify right side
    75,305,928,271.20x = 8,506,474,249,180,679,241,728
  5. Step 5: Solve for x
    x = 8,506,474,249,180,679,241,728/75,305,928,271.20
  6. Step 6: Final answer
    x = 112,958,892,406.80

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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.