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Finding the Fourth Proportional to 377,587,008,052.40, 566,380,512,078.50 and 377,587,008,052.40

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Solution

The fourth proportional to 377,587,008,052.40, 566,380,512,078.50 and 377,587,008,052.40 is: 566,380,512,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,587,008,052.40 : 566,380,512,078.50 = 377,587,008,052.40 : x
  2. Step 2: Convert to fraction form
    377,587,008,052.40/566,380,512,078.50 = 377,587,008,052.40/x
  3. Step 3: Cross multiply
    377,587,008,052.40x = 566,380,512,078.50 × 377,587,008,052.40
  4. Step 4: Simplify right side
    377,587,008,052.40x = 213,857,922,974,907,013,005,312
  5. Step 5: Solve for x
    x = 213,857,922,974,907,013,005,312/377,587,008,052.40
  6. Step 6: Final answer
    x = 566,380,512,078.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.