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Finding the Fourth Proportional to 20,112,138,681.40, 30,168,208,022.10 and 20,112,138,681.40

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Solution

The fourth proportional to 20,112,138,681.40, 30,168,208,022.10 and 20,112,138,681.40 is: 30,168,208,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112,138,681.40 : 30,168,208,022.10 = 20,112,138,681.40 : x
  2. Step 2: Convert to fraction form
    20,112,138,681.40/30,168,208,022.10 = 20,112,138,681.40/x
  3. Step 3: Cross multiply
    20,112,138,681.40x = 30,168,208,022.10 × 20,112,138,681.40
  4. Step 4: Simplify right side
    20,112,138,681.40x = 606,747,183,509,799,174,144
  5. Step 5: Solve for x
    x = 606,747,183,509,799,174,144/20,112,138,681.40
  6. Step 6: Final answer
    x = 30,168,208,022.10

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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.