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Finding the Fourth Proportional to 195,570,290,423.85, 293,355,435,635.78 and 195,570,290,423.85

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Solution

The fourth proportional to 195,570,290,423.85, 293,355,435,635.78 and 195,570,290,423.85 is: 293,355,435,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,570,290,423.85 : 293,355,435,635.78 = 195,570,290,423.85 : x
  2. Step 2: Convert to fraction form
    195,570,290,423.85/293,355,435,635.78 = 195,570,290,423.85/x
  3. Step 3: Cross multiply
    195,570,290,423.85x = 293,355,435,635.78 × 195,570,290,423.85
  4. Step 4: Simplify right side
    195,570,290,423.85x = 57,371,607,744,704,535,330,816
  5. Step 5: Solve for x
    x = 57,371,607,744,704,535,330,816/195,570,290,423.85
  6. Step 6: Final answer
    x = 293,355,435,635.78

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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.