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Finding the Fourth Proportional to 1,586,471,102.70, 2,223,355,368.90 and 1,586,471,102.70

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Solution

The fourth proportional to 1,586,471,102.70, 2,223,355,368.90 and 1,586,471,102.70 is: 2,223,355,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,471,102.70 : 2,223,355,368.90 = 1,586,471,102.70 : x
  2. Step 2: Convert to fraction form
    1,586,471,102.70/2,223,355,368.90 = 1,586,471,102.70/x
  3. Step 3: Cross multiply
    1,586,471,102.70x = 2,223,355,368.90 × 1,586,471,102.70
  4. Step 4: Simplify right side
    1,586,471,102.70x = 3,527,289,043,792,748,544
  5. Step 5: Solve for x
    x = 3,527,289,043,792,748,544/1,586,471,102.70
  6. Step 6: Final answer
    x = 2,223,355,368.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.