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Finding the Fourth Proportional to 124,152,024,133.35, 186,228,036,200.02 and 124,152,024,133.35

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Solution

The fourth proportional to 124,152,024,133.35, 186,228,036,200.02 and 124,152,024,133.35 is: 186,228,036,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,152,024,133.35 : 186,228,036,200.02 = 124,152,024,133.35 : x
  2. Step 2: Convert to fraction form
    124,152,024,133.35/186,228,036,200.02 = 124,152,024,133.35/x
  3. Step 3: Cross multiply
    124,152,024,133.35x = 186,228,036,200.02 × 124,152,024,133.35
  4. Step 4: Simplify right side
    124,152,024,133.35x = 23,120,587,644,611,258,744,832
  5. Step 5: Solve for x
    x = 23,120,587,644,611,258,744,832/124,152,024,133.35
  6. Step 6: Final answer
    x = 186,228,036,200.02

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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.