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Finding the Fourth Proportional to 255,042,809.40, 381,997,343.70 and 255,042,809.40

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Solution

The fourth proportional to 255,042,809.40, 381,997,343.70 and 255,042,809.40 is: 381,997,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,042,809.40 : 381,997,343.70 = 255,042,809.40 : x
  2. Step 2: Convert to fraction form
    255,042,809.40/381,997,343.70 = 255,042,809.40/x
  3. Step 3: Cross multiply
    255,042,809.40x = 381,997,343.70 × 255,042,809.40
  4. Step 4: Simplify right side
    255,042,809.40x = 97,425,675,720,585,392
  5. Step 5: Solve for x
    x = 97,425,675,720,585,392/255,042,809.40
  6. Step 6: Final answer
    x = 381,997,343.70

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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.