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Finding the Fourth Proportional to 571,968,015.20, 856,251,411.60 and 571,968,015.20

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Solution

The fourth proportional to 571,968,015.20, 856,251,411.60 and 571,968,015.20 is: 856,251,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,968,015.20 : 856,251,411.60 = 571,968,015.20 : x
  2. Step 2: Convert to fraction form
    571,968,015.20/856,251,411.60 = 571,968,015.20/x
  3. Step 3: Cross multiply
    571,968,015.20x = 856,251,411.60 × 571,968,015.20
  4. Step 4: Simplify right side
    571,968,015.20x = 489,748,420,405,050,304
  5. Step 5: Solve for x
    x = 489,748,420,405,050,304/571,968,015.20
  6. Step 6: Final answer
    x = 856,251,411.60

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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.