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Finding the Fourth Proportional to 3,049,890,094,811.70, 4,574,835,142,217.40 and 3,049,890,094,811.70

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Solution

The fourth proportional to 3,049,890,094,811.70, 4,574,835,142,217.40 and 3,049,890,094,811.70 is: 4,574,835,142,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049,890,094,811.70 : 4,574,835,142,217.40 = 3,049,890,094,811.70 : x
  2. Step 2: Convert to fraction form
    3,049,890,094,811.70/4,574,835,142,217.40 = 3,049,890,094,811.70/x
  3. Step 3: Cross multiply
    3,049,890,094,811.70x = 4,574,835,142,217.40 × 3,049,890,094,811.70
  4. Step 4: Simplify right side
    3,049,890,094,811.70x = 13,952,744,385,645,325,930,463,232
  5. Step 5: Solve for x
    x = 13,952,744,385,645,325,930,463,232/3,049,890,094,811.70
  6. Step 6: Final answer
    x = 4,574,835,142,217.40

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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.