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Finding the Fourth Proportional to 538,164,020.10, 753,939,811.50 and 538,164,020.10

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Solution

The fourth proportional to 538,164,020.10, 753,939,811.50 and 538,164,020.10 is: 753,939,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,164,020.10 : 753,939,811.50 = 538,164,020.10 : x
  2. Step 2: Convert to fraction form
    538,164,020.10/753,939,811.50 = 538,164,020.10/x
  3. Step 3: Cross multiply
    538,164,020.10x = 753,939,811.50 × 538,164,020.10
  4. Step 4: Simplify right side
    538,164,020.10x = 405,743,279,870,276,224
  5. Step 5: Solve for x
    x = 405,743,279,870,276,224/538,164,020.10
  6. Step 6: Final answer
    x = 753,939,811.50

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