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Finding the Fourth Proportional to 993,943,235,200.20, 1,490,914,852,800.30 and 993,943,235,200.20

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Solution

The fourth proportional to 993,943,235,200.20, 1,490,914,852,800.30 and 993,943,235,200.20 is: 1,490,914,852,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,943,235,200.20 : 1,490,914,852,800.30 = 993,943,235,200.20 : x
  2. Step 2: Convert to fraction form
    993,943,235,200.20/1,490,914,852,800.30 = 993,943,235,200.20/x
  3. Step 3: Cross multiply
    993,943,235,200.20x = 1,490,914,852,800.30 × 993,943,235,200.20
  4. Step 4: Simplify right side
    993,943,235,200.20x = 1,481,884,732,200,360,081,358,848
  5. Step 5: Solve for x
    x = 1,481,884,732,200,360,081,358,848/993,943,235,200.20
  6. Step 6: Final answer
    x = 1,490,914,852,800.30

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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.