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Finding the Fourth Proportional to 289,636,704,004.90, 434,455,056,007.36 and 289,636,704,004.90

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Solution

The fourth proportional to 289,636,704,004.90, 434,455,056,007.36 and 289,636,704,004.90 is: 434,455,056,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,636,704,004.90 : 434,455,056,007.36 = 289,636,704,004.90 : x
  2. Step 2: Convert to fraction form
    289,636,704,004.90/434,455,056,007.36 = 289,636,704,004.90/x
  3. Step 3: Cross multiply
    289,636,704,004.90x = 434,455,056,007.36 × 289,636,704,004.90
  4. Step 4: Simplify right side
    289,636,704,004.90x = 125,834,130,460,235,983,224,832
  5. Step 5: Solve for x
    x = 125,834,130,460,235,983,224,832/289,636,704,004.90
  6. Step 6: Final answer
    x = 434,455,056,007.36

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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.