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Finding the Fourth Proportional to 107,438,460,271.20, 160,847,754,015.60 and 107,438,460,271.20

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Solution

The fourth proportional to 107,438,460,271.20, 160,847,754,015.60 and 107,438,460,271.20 is: 160,847,754,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,438,460,271.20 : 160,847,754,015.60 = 107,438,460,271.20 : x
  2. Step 2: Convert to fraction form
    107,438,460,271.20/160,847,754,015.60 = 107,438,460,271.20/x
  3. Step 3: Cross multiply
    107,438,460,271.20x = 160,847,754,015.60 × 107,438,460,271.20
  4. Step 4: Simplify right side
    107,438,460,271.20x = 17,281,235,029,516,791,840,768
  5. Step 5: Solve for x
    x = 17,281,235,029,516,791,840,768/107,438,460,271.20
  6. Step 6: Final answer
    x = 160,847,754,015.60

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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.