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Finding the Fourth Proportional to 288,684,013.20, 433,026,019.80 and 288,684,013.20

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Solution

The fourth proportional to 288,684,013.20, 433,026,019.80 and 288,684,013.20 is: 433,026,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,684,013.20 : 433,026,019.80 = 288,684,013.20 : x
  2. Step 2: Convert to fraction form
    288,684,013.20/433,026,019.80 = 288,684,013.20/x
  3. Step 3: Cross multiply
    288,684,013.20x = 433,026,019.80 × 288,684,013.20
  4. Step 4: Simplify right side
    288,684,013.20x = 125,007,689,215,886,656
  5. Step 5: Solve for x
    x = 125,007,689,215,886,656/288,684,013.20
  6. Step 6: Final answer
    x = 433,026,019.80

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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.