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Finding the Fourth Proportional to 148,124,705.40, 206,864,404.20 and 148,124,705.40

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Solution

The fourth proportional to 148,124,705.40, 206,864,404.20 and 148,124,705.40 is: 206,864,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,124,705.40 : 206,864,404.20 = 148,124,705.40 : x
  2. Step 2: Convert to fraction form
    148,124,705.40/206,864,404.20 = 148,124,705.40/x
  3. Step 3: Cross multiply
    148,124,705.40x = 206,864,404.20 × 148,124,705.40
  4. Step 4: Simplify right side
    148,124,705.40x = 30,641,728,929,871,524
  5. Step 5: Solve for x
    x = 30,641,728,929,871,524/148,124,705.40
  6. Step 6: Final answer
    x = 206,864,404.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.