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Finding the Fourth Proportional to 247,032,446,355.70, 370,548,669,533.55 and 247,032,446,355.70

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Solution

The fourth proportional to 247,032,446,355.70, 370,548,669,533.55 and 247,032,446,355.70 is: 370,548,669,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,032,446,355.70 : 370,548,669,533.55 = 247,032,446,355.70 : x
  2. Step 2: Convert to fraction form
    247,032,446,355.70/370,548,669,533.55 = 247,032,446,355.70/x
  3. Step 3: Cross multiply
    247,032,446,355.70x = 370,548,669,533.55 × 247,032,446,355.70
  4. Step 4: Simplify right side
    247,032,446,355.70x = 91,537,544,328,722,696,372,224
  5. Step 5: Solve for x
    x = 91,537,544,328,722,696,372,224/247,032,446,355.70
  6. Step 6: Final answer
    x = 370,548,669,533.55

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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.