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Finding the Fourth Proportional to 698,164,006,302.75, 1,047,246,009,454.20 and 698,164,006,302.75

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Solution

The fourth proportional to 698,164,006,302.75, 1,047,246,009,454.20 and 698,164,006,302.75 is: 1,047,246,009,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,164,006,302.75 : 1,047,246,009,454.20 = 698,164,006,302.75 : x
  2. Step 2: Convert to fraction form
    698,164,006,302.75/1,047,246,009,454.20 = 698,164,006,302.75/x
  3. Step 3: Cross multiply
    698,164,006,302.75x = 1,047,246,009,454.20 × 698,164,006,302.75
  4. Step 4: Simplify right side
    698,164,006,302.75x = 731,149,469,545,111,884,922,880
  5. Step 5: Solve for x
    x = 731,149,469,545,111,884,922,880/698,164,006,302.75
  6. Step 6: Final answer
    x = 1,047,246,009,454.20

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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.