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Finding the Fourth Proportional to 789,208,616.30, 1,106,706,048.10 and 789,208,616.30

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Solution

The fourth proportional to 789,208,616.30, 1,106,706,048.10 and 789,208,616.30 is: 1,106,706,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,208,616.30 : 1,106,706,048.10 = 789,208,616.30 : x
  2. Step 2: Convert to fraction form
    789,208,616.30/1,106,706,048.10 = 789,208,616.30/x
  3. Step 3: Cross multiply
    789,208,616.30x = 1,106,706,048.10 × 789,208,616.30
  4. Step 4: Simplify right side
    789,208,616.30x = 873,421,948,871,842,176
  5. Step 5: Solve for x
    x = 873,421,948,871,842,176/789,208,616.30
  6. Step 6: Final answer
    x = 1,106,706,048.10

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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.