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Finding the Fourth Proportional to 4,783,302,006.10, 7,174,953,009.15 and 4,783,302,006.10

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Solution

The fourth proportional to 4,783,302,006.10, 7,174,953,009.15 and 4,783,302,006.10 is: 7,174,953,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783,302,006.10 : 7,174,953,009.15 = 4,783,302,006.10 : x
  2. Step 2: Convert to fraction form
    4,783,302,006.10/7,174,953,009.15 = 4,783,302,006.10/x
  3. Step 3: Cross multiply
    4,783,302,006.10x = 7,174,953,009.15 × 4,783,302,006.10
  4. Step 4: Simplify right side
    4,783,302,006.10x = 34,319,967,122,340,425,728
  5. Step 5: Solve for x
    x = 34,319,967,122,340,425,728/4,783,302,006.10
  6. Step 6: Final answer
    x = 7,174,953,009.15

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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.