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Finding the Fourth Proportional to 538,178,700.90, 755,490,914.70 and 538,178,700.90

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Solution

The fourth proportional to 538,178,700.90, 755,490,914.70 and 538,178,700.90 is: 755,490,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,178,700.90 : 755,490,914.70 = 538,178,700.90 : x
  2. Step 2: Convert to fraction form
    538,178,700.90/755,490,914.70 = 538,178,700.90/x
  3. Step 3: Cross multiply
    538,178,700.90x = 755,490,914.70 × 538,178,700.90
  4. Step 4: Simplify right side
    538,178,700.90x = 406,589,119,014,998,720
  5. Step 5: Solve for x
    x = 406,589,119,014,998,720/538,178,700.90
  6. Step 6: Final answer
    x = 755,490,914.70

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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.