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Finding the Fourth Proportional to 470,362,464,110.10, 705,543,696,165.15 and 470,362,464,110.10

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Solution

The fourth proportional to 470,362,464,110.10, 705,543,696,165.15 and 470,362,464,110.10 is: 705,543,696,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,362,464,110.10 : 705,543,696,165.15 = 470,362,464,110.10 : x
  2. Step 2: Convert to fraction form
    470,362,464,110.10/705,543,696,165.15 = 470,362,464,110.10/x
  3. Step 3: Cross multiply
    470,362,464,110.10x = 705,543,696,165.15 × 470,362,464,110.10
  4. Step 4: Simplify right side
    470,362,464,110.10x = 331,861,271,465,587,636,174,848
  5. Step 5: Solve for x
    x = 331,861,271,465,587,636,174,848/470,362,464,110.10
  6. Step 6: Final answer
    x = 705,543,696,165.15

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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.